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Finding the Fourth Proportional to 566.24, 781.76 and 507.92

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Solution

The fourth proportional to 566.24, 781.76 and 507.92 is: 701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 781.76 = 507.92 : x
  2. Step 2: Convert to fraction form
    566.24/781.76 = 507.92/x
  3. Step 3: Cross multiply
    566.24x = 781.76 × 507.92
  4. Step 4: Simplify right side
    566.24x = 397,071.54
  5. Step 5: Solve for x
    x = 397,071.54/566.24
  6. Step 6: Final answer
    x = 701.24

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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.