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Finding the Fourth Proportional to 467.56, 645.24 and 281.25

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Solution

The fourth proportional to 467.56, 645.24 and 281.25 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.56 : 645.24 = 281.25 : x
  2. Step 2: Convert to fraction form
    467.56/645.24 = 281.25/x
  3. Step 3: Cross multiply
    467.56x = 645.24 × 281.25
  4. Step 4: Simplify right side
    467.56x = 181,473.75
  5. Step 5: Solve for x
    x = 181,473.75/467.56
  6. Step 6: Final answer
    x = 388.13

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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.