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Finding the Fourth Proportional to 487.12, 729.52 and 267.42

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Solution

The fourth proportional to 487.12, 729.52 and 267.42 is: 400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.12 : 729.52 = 267.42 : x
  2. Step 2: Convert to fraction form
    487.12/729.52 = 267.42/x
  3. Step 3: Cross multiply
    487.12x = 729.52 × 267.42
  4. Step 4: Simplify right side
    487.12x = 195,088.24
  5. Step 5: Solve for x
    x = 195,088.24/487.12
  6. Step 6: Final answer
    x = 400.49

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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.