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Finding the Fourth Proportional to 475.17, 711.65 and 458.75

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Solution

The fourth proportional to 475.17, 711.65 and 458.75 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.17 : 711.65 = 458.75 : x
  2. Step 2: Convert to fraction form
    475.17/711.65 = 458.75/x
  3. Step 3: Cross multiply
    475.17x = 711.65 × 458.75
  4. Step 4: Simplify right side
    475.17x = 326,463.59
  5. Step 5: Solve for x
    x = 326,463.59/475.17
  6. Step 6: Final answer
    x = 687.05

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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.