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Finding the Fourth Proportional to 446.32, 615.92 and 280.60

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Solution

The fourth proportional to 446.32, 615.92 and 280.60 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 615.92 = 280.60 : x
  2. Step 2: Convert to fraction form
    446.32/615.92 = 280.60/x
  3. Step 3: Cross multiply
    446.32x = 615.92 × 280.60
  4. Step 4: Simplify right side
    446.32x = 172,827.15
  5. Step 5: Solve for x
    x = 172,827.15/446.32
  6. Step 6: Final answer
    x = 387.23

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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.