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Finding the Fourth Proportional to 427.47, 588.54 and 372.18

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Solution

The fourth proportional to 427.47, 588.54 and 372.18 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.47 : 588.54 = 372.18 : x
  2. Step 2: Convert to fraction form
    427.47/588.54 = 372.18/x
  3. Step 3: Cross multiply
    427.47x = 588.54 × 372.18
  4. Step 4: Simplify right side
    427.47x = 219,042.82
  5. Step 5: Solve for x
    x = 219,042.82/427.47
  6. Step 6: Final answer
    x = 512.42

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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.