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Finding the Fourth Proportional to 337.13, 464.63 and 297.44

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Solution

The fourth proportional to 337.13, 464.63 and 297.44 is: 409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.13 : 464.63 = 297.44 : x
  2. Step 2: Convert to fraction form
    337.13/464.63 = 297.44/x
  3. Step 3: Cross multiply
    337.13x = 464.63 × 297.44
  4. Step 4: Simplify right side
    337.13x = 138,195.74
  5. Step 5: Solve for x
    x = 138,195.74/337.13
  6. Step 6: Final answer
    x = 409.92

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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.