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Finding the Fourth Proportional to 566.56, 781.92 and 417.24

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Solution

The fourth proportional to 566.56, 781.92 and 417.24 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.56 : 781.92 = 417.24 : x
  2. Step 2: Convert to fraction form
    566.56/781.92 = 417.24/x
  3. Step 3: Cross multiply
    566.56x = 781.92 × 417.24
  4. Step 4: Simplify right side
    566.56x = 326,248.30
  5. Step 5: Solve for x
    x = 326,248.30/566.56
  6. Step 6: Final answer
    x = 575.84

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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.