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Finding the Fourth Proportional to 372.74, 514.33 and 215.31

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Solution

The fourth proportional to 372.74, 514.33 and 215.31 is: 297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.74 : 514.33 = 215.31 : x
  2. Step 2: Convert to fraction form
    372.74/514.33 = 215.31/x
  3. Step 3: Cross multiply
    372.74x = 514.33 × 215.31
  4. Step 4: Simplify right side
    372.74x = 110,740.39
  5. Step 5: Solve for x
    x = 110,740.39/372.74
  6. Step 6: Final answer
    x = 297.10

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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.