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Finding the Fourth Proportional to 467.54, 645.23 and 281.02

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Solution

The fourth proportional to 467.54, 645.23 and 281.02 is: 387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.54 : 645.23 = 281.02 : x
  2. Step 2: Convert to fraction form
    467.54/645.23 = 281.02/x
  3. Step 3: Cross multiply
    467.54x = 645.23 × 281.02
  4. Step 4: Simplify right side
    467.54x = 181,322.53
  5. Step 5: Solve for x
    x = 181,322.53/467.54
  6. Step 6: Final answer
    x = 387.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.