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Finding the Fourth Proportional to 625.78, 938.04 and 464.19

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Solution

The fourth proportional to 625.78, 938.04 and 464.19 is: 695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.78 : 938.04 = 464.19 : x
  2. Step 2: Convert to fraction form
    625.78/938.04 = 464.19/x
  3. Step 3: Cross multiply
    625.78x = 938.04 × 464.19
  4. Step 4: Simplify right side
    625.78x = 435,424.10
  5. Step 5: Solve for x
    x = 435,424.10/625.78
  6. Step 6: Final answer
    x = 695.81

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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.