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Finding the Fourth Proportional to 638.43, 955.19 and 465.15

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Solution

The fourth proportional to 638.43, 955.19 and 465.15 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.43 : 955.19 = 465.15 : x
  2. Step 2: Convert to fraction form
    638.43/955.19 = 465.15/x
  3. Step 3: Cross multiply
    638.43x = 955.19 × 465.15
  4. Step 4: Simplify right side
    638.43x = 444,299.53
  5. Step 5: Solve for x
    x = 444,299.53/638.43
  6. Step 6: Final answer
    x = 695.93

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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.