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Finding the Fourth Proportional to 742.30, 1,024.30 and 476.27

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Solution

The fourth proportional to 742.30, 1,024.30 and 476.27 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.30 : 1,024.30 = 476.27 : x
  2. Step 2: Convert to fraction form
    742.30/1,024.30 = 476.27/x
  3. Step 3: Cross multiply
    742.30x = 1,024.30 × 476.27
  4. Step 4: Simplify right side
    742.30x = 487,843.36
  5. Step 5: Solve for x
    x = 487,843.36/742.30
  6. Step 6: Final answer
    x = 657.21

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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.