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Finding the Fourth Proportional to 520.22, 781.14 and 497.14

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Solution

The fourth proportional to 520.22, 781.14 and 497.14 is: 746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 781.14 = 497.14 : x
  2. Step 2: Convert to fraction form
    520.22/781.14 = 497.14/x
  3. Step 3: Cross multiply
    520.22x = 781.14 × 497.14
  4. Step 4: Simplify right side
    520.22x = 388,335.94
  5. Step 5: Solve for x
    x = 388,335.94/520.22
  6. Step 6: Final answer
    x = 746.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.