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Finding the Fourth Proportional to 372.74, 514.31 and 215.34

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Solution

The fourth proportional to 372.74, 514.31 and 215.34 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.74 : 514.31 = 215.34 : x
  2. Step 2: Convert to fraction form
    372.74/514.31 = 215.34/x
  3. Step 3: Cross multiply
    372.74x = 514.31 × 215.34
  4. Step 4: Simplify right side
    372.74x = 110,750.44
  5. Step 5: Solve for x
    x = 110,750.44/372.74
  6. Step 6: Final answer
    x = 297.13

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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.