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Finding the Fourth Proportional to 467.55, 645.17 and 271.10

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Solution

The fourth proportional to 467.55, 645.17 and 271.10 is: 374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.55 : 645.17 = 271.10 : x
  2. Step 2: Convert to fraction form
    467.55/645.17 = 271.10/x
  3. Step 3: Cross multiply
    467.55x = 645.17 × 271.10
  4. Step 4: Simplify right side
    467.55x = 174,902.22
  5. Step 5: Solve for x
    x = 174,902.22/467.55
  6. Step 6: Final answer
    x = 374.08

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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.