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Finding the Fourth Proportional to 632.46, 872.88 and 436.24

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Solution

The fourth proportional to 632.46, 872.88 and 436.24 is: 602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.46 : 872.88 = 436.24 : x
  2. Step 2: Convert to fraction form
    632.46/872.88 = 436.24/x
  3. Step 3: Cross multiply
    632.46x = 872.88 × 436.24
  4. Step 4: Simplify right side
    632.46x = 380,785.17
  5. Step 5: Solve for x
    x = 380,785.17/632.46
  6. Step 6: Final answer
    x = 602.07

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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.