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Finding the Fourth Proportional to 337.12, 464.40 and 271.84

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Solution

The fourth proportional to 337.12, 464.40 and 271.84 is: 374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 464.40 = 271.84 : x
  2. Step 2: Convert to fraction form
    337.12/464.40 = 271.84/x
  3. Step 3: Cross multiply
    337.12x = 464.40 × 271.84
  4. Step 4: Simplify right side
    337.12x = 126,242.50
  5. Step 5: Solve for x
    x = 126,242.50/337.12
  6. Step 6: Final answer
    x = 374.47

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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.