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Finding the Fourth Proportional to 566.92, 782.24 and 345.94

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Solution

The fourth proportional to 566.92, 782.24 and 345.94 is: 477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 782.24 = 345.94 : x
  2. Step 2: Convert to fraction form
    566.92/782.24 = 345.94/x
  3. Step 3: Cross multiply
    566.92x = 782.24 × 345.94
  4. Step 4: Simplify right side
    566.92x = 270,607.01
  5. Step 5: Solve for x
    x = 270,607.01/566.92
  6. Step 6: Final answer
    x = 477.33

Related Problems

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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.