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Finding the Fourth Proportional to 625.14, 938.05 and 260.19

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Solution

The fourth proportional to 625.14, 938.05 and 260.19 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.14 : 938.05 = 260.19 : x
  2. Step 2: Convert to fraction form
    625.14/938.05 = 260.19/x
  3. Step 3: Cross multiply
    625.14x = 938.05 × 260.19
  4. Step 4: Simplify right side
    625.14x = 244,070.58
  5. Step 5: Solve for x
    x = 244,070.58/625.14
  6. Step 6: Final answer
    x = 390.43

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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.