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Finding the Fourth Proportional to 625.38, 937.34 and 470.81

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Solution

The fourth proportional to 625.38, 937.34 and 470.81 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.38 : 937.34 = 470.81 : x
  2. Step 2: Convert to fraction form
    625.38/937.34 = 470.81/x
  3. Step 3: Cross multiply
    625.38x = 937.34 × 470.81
  4. Step 4: Simplify right side
    625.38x = 441,302.00
  5. Step 5: Solve for x
    x = 441,302.00/625.38
  6. Step 6: Final answer
    x = 705.65

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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.