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Finding the Fourth Proportional to 566.76, 782.16 and 333.92

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Solution

The fourth proportional to 566.76, 782.16 and 333.92 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 782.16 = 333.92 : x
  2. Step 2: Convert to fraction form
    566.76/782.16 = 333.92/x
  3. Step 3: Cross multiply
    566.76x = 782.16 × 333.92
  4. Step 4: Simplify right side
    566.76x = 261,178.87
  5. Step 5: Solve for x
    x = 261,178.87/566.76
  6. Step 6: Final answer
    x = 460.83

Related Problems

Find fourth proportional to 283.38, 391.08 and 166.96
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.