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Finding the Fourth Proportional to 372.41, 558.80 and 256.95

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Solution

The fourth proportional to 372.41, 558.80 and 256.95 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.41 : 558.80 = 256.95 : x
  2. Step 2: Convert to fraction form
    372.41/558.80 = 256.95/x
  3. Step 3: Cross multiply
    372.41x = 558.80 × 256.95
  4. Step 4: Simplify right side
    372.41x = 143,583.66
  5. Step 5: Solve for x
    x = 143,583.66/372.41
  6. Step 6: Final answer
    x = 385.55

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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.