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Finding the Fourth Proportional to 372.54, 557.64 and 235.12

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Solution

The fourth proportional to 372.54, 557.64 and 235.12 is: 351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.54 : 557.64 = 235.12 : x
  2. Step 2: Convert to fraction form
    372.54/557.64 = 235.12/x
  3. Step 3: Cross multiply
    372.54x = 557.64 × 235.12
  4. Step 4: Simplify right side
    372.54x = 131,112.32
  5. Step 5: Solve for x
    x = 131,112.32/372.54
  6. Step 6: Final answer
    x = 351.94

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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.