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Finding the Fourth Proportional to 467.54, 645.28 and 281.06

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Solution

The fourth proportional to 467.54, 645.28 and 281.06 is: 387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.54 : 645.28 = 281.06 : x
  2. Step 2: Convert to fraction form
    467.54/645.28 = 281.06/x
  3. Step 3: Cross multiply
    467.54x = 645.28 × 281.06
  4. Step 4: Simplify right side
    467.54x = 181,358.47
  5. Step 5: Solve for x
    x = 181,358.47/467.54
  6. Step 6: Final answer
    x = 387.90

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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.