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Finding the Fourth Proportional to 621.54, 934.13 and 406.49

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Solution

The fourth proportional to 621.54, 934.13 and 406.49 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.54 : 934.13 = 406.49 : x
  2. Step 2: Convert to fraction form
    621.54/934.13 = 406.49/x
  3. Step 3: Cross multiply
    621.54x = 934.13 × 406.49
  4. Step 4: Simplify right side
    621.54x = 379,707.80
  5. Step 5: Solve for x
    x = 379,707.80/621.54
  6. Step 6: Final answer
    x = 610.91

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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.