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Finding the Fourth Proportional to 625.01, 935.20 and 460.60

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Solution

The fourth proportional to 625.01, 935.20 and 460.60 is: 689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.01 : 935.20 = 460.60 : x
  2. Step 2: Convert to fraction form
    625.01/935.20 = 460.60/x
  3. Step 3: Cross multiply
    625.01x = 935.20 × 460.60
  4. Step 4: Simplify right side
    625.01x = 430,753.12
  5. Step 5: Solve for x
    x = 430,753.12/625.01
  6. Step 6: Final answer
    x = 689.19

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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.