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Finding the Fourth Proportional to 521.20, 777.94 and 459.71

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Solution

The fourth proportional to 521.20, 777.94 and 459.71 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 777.94 = 459.71 : x
  2. Step 2: Convert to fraction form
    521.20/777.94 = 459.71/x
  3. Step 3: Cross multiply
    521.20x = 777.94 × 459.71
  4. Step 4: Simplify right side
    521.20x = 357,622.91
  5. Step 5: Solve for x
    x = 357,622.91/521.20
  6. Step 6: Final answer
    x = 686.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.