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Finding the Fourth Proportional to 742, 1,024.20 and 466

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Solution

The fourth proportional to 742, 1,024.20 and 466 is: 643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 1,024.20 = 466 : x
  2. Step 2: Convert to fraction form
    742/1,024.20 = 466/x
  3. Step 3: Cross multiply
    742x = 1,024.20 × 466
  4. Step 4: Simplify right side
    742x = 477,277.20
  5. Step 5: Solve for x
    x = 477,277.20/742
  6. Step 6: Final answer
    x = 643.23

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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.