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Finding the Fourth Proportional to 337.90, 466.56 and 296.94

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Solution

The fourth proportional to 337.90, 466.56 and 296.94 is: 410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.90 : 466.56 = 296.94 : x
  2. Step 2: Convert to fraction form
    337.90/466.56 = 296.94/x
  3. Step 3: Cross multiply
    337.90x = 466.56 × 296.94
  4. Step 4: Simplify right side
    337.90x = 138,540.33
  5. Step 5: Solve for x
    x = 138,540.33/337.90
  6. Step 6: Final answer
    x = 410.00

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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.