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Finding the Fourth Proportional to 632.32, 872.52 and 370.24

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Solution

The fourth proportional to 632.32, 872.52 and 370.24 is: 510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.32 : 872.52 = 370.24 : x
  2. Step 2: Convert to fraction form
    632.32/872.52 = 370.24/x
  3. Step 3: Cross multiply
    632.32x = 872.52 × 370.24
  4. Step 4: Simplify right side
    632.32x = 323,041.80
  5. Step 5: Solve for x
    x = 323,041.80/632.32
  6. Step 6: Final answer
    x = 510.88

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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.