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Finding the Fourth Proportional to 488.11, 731.44 and 452.11

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Solution

The fourth proportional to 488.11, 731.44 and 452.11 is: 677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.11 : 731.44 = 452.11 : x
  2. Step 2: Convert to fraction form
    488.11/731.44 = 452.11/x
  3. Step 3: Cross multiply
    488.11x = 731.44 × 452.11
  4. Step 4: Simplify right side
    488.11x = 330,691.34
  5. Step 5: Solve for x
    x = 330,691.34/488.11
  6. Step 6: Final answer
    x = 677.49

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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.