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Finding the Fourth Proportional to 337.22, 466.53 and 278.90

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Solution

The fourth proportional to 337.22, 466.53 and 278.90 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.22 : 466.53 = 278.90 : x
  2. Step 2: Convert to fraction form
    337.22/466.53 = 278.90/x
  3. Step 3: Cross multiply
    337.22x = 466.53 × 278.90
  4. Step 4: Simplify right side
    337.22x = 130,115.22
  5. Step 5: Solve for x
    x = 130,115.22/337.22
  6. Step 6: Final answer
    x = 385.85

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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.