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Finding the Fourth Proportional to 360.61, 497.82 and 271.95

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Solution

The fourth proportional to 360.61, 497.82 and 271.95 is: 375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.61 : 497.82 = 271.95 : x
  2. Step 2: Convert to fraction form
    360.61/497.82 = 271.95/x
  3. Step 3: Cross multiply
    360.61x = 497.82 × 271.95
  4. Step 4: Simplify right side
    360.61x = 135,384.02
  5. Step 5: Solve for x
    x = 135,384.02/360.61
  6. Step 6: Final answer
    x = 375.43

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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.