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Finding the Fourth Proportional to 742.20, 1,024.24 and 410.64

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Solution

The fourth proportional to 742.20, 1,024.24 and 410.64 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,024.24 = 410.64 : x
  2. Step 2: Convert to fraction form
    742.20/1,024.24 = 410.64/x
  3. Step 3: Cross multiply
    742.20x = 1,024.24 × 410.64
  4. Step 4: Simplify right side
    742.20x = 420,593.91
  5. Step 5: Solve for x
    x = 420,593.91/742.20
  6. Step 6: Final answer
    x = 566.69

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1.5x scale

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.