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Finding the Fourth Proportional to 455.92, 628.80 and 281.20

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Solution

The fourth proportional to 455.92, 628.80 and 281.20 is: 387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.92 : 628.80 = 281.20 : x
  2. Step 2: Convert to fraction form
    455.92/628.80 = 281.20/x
  3. Step 3: Cross multiply
    455.92x = 628.80 × 281.20
  4. Step 4: Simplify right side
    455.92x = 176,818.56
  5. Step 5: Solve for x
    x = 176,818.56/455.92
  6. Step 6: Final answer
    x = 387.83

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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.