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Finding the Fourth Proportional to 457.34, 630.92 and 280.23

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Solution

The fourth proportional to 457.34, 630.92 and 280.23 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.34 : 630.92 = 280.23 : x
  2. Step 2: Convert to fraction form
    457.34/630.92 = 280.23/x
  3. Step 3: Cross multiply
    457.34x = 630.92 × 280.23
  4. Step 4: Simplify right side
    457.34x = 176,801.31
  5. Step 5: Solve for x
    x = 176,801.31/457.34
  6. Step 6: Final answer
    x = 386.59

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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.