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Finding the Fourth Proportional to 625.98, 937.26 and 382.14

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Solution

The fourth proportional to 625.98, 937.26 and 382.14 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.98 : 937.26 = 382.14 : x
  2. Step 2: Convert to fraction form
    625.98/937.26 = 382.14/x
  3. Step 3: Cross multiply
    625.98x = 937.26 × 382.14
  4. Step 4: Simplify right side
    625.98x = 358,164.54
  5. Step 5: Solve for x
    x = 358,164.54/625.98
  6. Step 6: Final answer
    x = 572.17

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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.