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Finding the Fourth Proportional to 283.46, 392.01 and 271.24

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Solution

The fourth proportional to 283.46, 392.01 and 271.24 is: 375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 392.01 = 271.24 : x
  2. Step 2: Convert to fraction form
    283.46/392.01 = 271.24/x
  3. Step 3: Cross multiply
    283.46x = 392.01 × 271.24
  4. Step 4: Simplify right side
    283.46x = 106,326.80
  5. Step 5: Solve for x
    x = 106,326.80/283.46
  6. Step 6: Final answer
    x = 375.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.