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Finding the Fourth Proportional to 457.25, 630.86 and 280.12

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Solution

The fourth proportional to 457.25, 630.86 and 280.12 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 630.86 = 280.12 : x
  2. Step 2: Convert to fraction form
    457.25/630.86 = 280.12/x
  3. Step 3: Cross multiply
    457.25x = 630.86 × 280.12
  4. Step 4: Simplify right side
    457.25x = 176,718.52
  5. Step 5: Solve for x
    x = 176,718.52/457.25
  6. Step 6: Final answer
    x = 386.48

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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.