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Finding the Fourth Proportional to 966.47, 1,449.65 and 341.72

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Solution

The fourth proportional to 966.47, 1,449.65 and 341.72 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.47 : 1,449.65 = 341.72 : x
  2. Step 2: Convert to fraction form
    966.47/1,449.65 = 341.72/x
  3. Step 3: Cross multiply
    966.47x = 1,449.65 × 341.72
  4. Step 4: Simplify right side
    966.47x = 495,371.52
  5. Step 5: Solve for x
    x = 495,371.52/966.47
  6. Step 6: Final answer
    x = 512.56

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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.