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Finding the Fourth Proportional to 742.24, 1,024.08 and 431.68

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Solution

The fourth proportional to 742.24, 1,024.08 and 431.68 is: 595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,024.08 = 431.68 : x
  2. Step 2: Convert to fraction form
    742.24/1,024.08 = 431.68/x
  3. Step 3: Cross multiply
    742.24x = 1,024.08 × 431.68
  4. Step 4: Simplify right side
    742.24x = 442,074.85
  5. Step 5: Solve for x
    x = 442,074.85/742.24
  6. Step 6: Final answer
    x = 595.60

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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.