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Finding the Fourth Proportional to 625.29, 936.14 and 471.87

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Solution

The fourth proportional to 625.29, 936.14 and 471.87 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.29 : 936.14 = 471.87 : x
  2. Step 2: Convert to fraction form
    625.29/936.14 = 471.87/x
  3. Step 3: Cross multiply
    625.29x = 936.14 × 471.87
  4. Step 4: Simplify right side
    625.29x = 441,734.02
  5. Step 5: Solve for x
    x = 441,734.02/625.29
  6. Step 6: Final answer
    x = 706.45

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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.