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Finding the Fourth Proportional to 632.20, 872.40 and 370.12

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Solution

The fourth proportional to 632.20, 872.40 and 370.12 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 872.40 = 370.12 : x
  2. Step 2: Convert to fraction form
    632.20/872.40 = 370.12/x
  3. Step 3: Cross multiply
    632.20x = 872.40 × 370.12
  4. Step 4: Simplify right side
    632.20x = 322,892.69
  5. Step 5: Solve for x
    x = 322,892.69/632.20
  6. Step 6: Final answer
    x = 510.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.