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Finding the Fourth Proportional to 372.08, 557.76 and 218.54

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Solution

The fourth proportional to 372.08, 557.76 and 218.54 is: 327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.08 : 557.76 = 218.54 : x
  2. Step 2: Convert to fraction form
    372.08/557.76 = 218.54/x
  3. Step 3: Cross multiply
    372.08x = 557.76 × 218.54
  4. Step 4: Simplify right side
    372.08x = 121,892.87
  5. Step 5: Solve for x
    x = 121,892.87/372.08
  6. Step 6: Final answer
    x = 327.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.