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Finding the Fourth Proportional to 566.92, 782.63 and 357.40

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Solution

The fourth proportional to 566.92, 782.63 and 357.40 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 782.63 = 357.40 : x
  2. Step 2: Convert to fraction form
    566.92/782.63 = 357.40/x
  3. Step 3: Cross multiply
    566.92x = 782.63 × 357.40
  4. Step 4: Simplify right side
    566.92x = 279,711.96
  5. Step 5: Solve for x
    x = 279,711.96/566.92
  6. Step 6: Final answer
    x = 493.39

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Double scale
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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.