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Finding the Fourth Proportional to 625.32, 939.87 and 410.40

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Solution

The fourth proportional to 625.32, 939.87 and 410.40 is: 616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.32 : 939.87 = 410.40 : x
  2. Step 2: Convert to fraction form
    625.32/939.87 = 410.40/x
  3. Step 3: Cross multiply
    625.32x = 939.87 × 410.40
  4. Step 4: Simplify right side
    625.32x = 385,722.65
  5. Step 5: Solve for x
    x = 385,722.65/625.32
  6. Step 6: Final answer
    x = 616.84

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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.