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Finding the Fourth Proportional to 467.52, 645.12 and 281.22

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Solution

The fourth proportional to 467.52, 645.12 and 281.22 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 645.12 = 281.22 : x
  2. Step 2: Convert to fraction form
    467.52/645.12 = 281.22/x
  3. Step 3: Cross multiply
    467.52x = 645.12 × 281.22
  4. Step 4: Simplify right side
    467.52x = 181,420.65
  5. Step 5: Solve for x
    x = 181,420.65/467.52
  6. Step 6: Final answer
    x = 388.05

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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.