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Finding the Fourth Proportional to 641.16, 885.12 and 431.64

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Solution

The fourth proportional to 641.16, 885.12 and 431.64 is: 595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.16 : 885.12 = 431.64 : x
  2. Step 2: Convert to fraction form
    641.16/885.12 = 431.64/x
  3. Step 3: Cross multiply
    641.16x = 885.12 × 431.64
  4. Step 4: Simplify right side
    641.16x = 382,053.20
  5. Step 5: Solve for x
    x = 382,053.20/641.16
  6. Step 6: Final answer
    x = 595.88

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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.