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Finding the Fourth Proportional to 560.01, 772.13 and 497.64

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Solution

The fourth proportional to 560.01, 772.13 and 497.64 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.01 : 772.13 = 497.64 : x
  2. Step 2: Convert to fraction form
    560.01/772.13 = 497.64/x
  3. Step 3: Cross multiply
    560.01x = 772.13 × 497.64
  4. Step 4: Simplify right side
    560.01x = 384,246.91
  5. Step 5: Solve for x
    x = 384,246.91/560.01
  6. Step 6: Final answer
    x = 686.14

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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.