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Finding the Fourth Proportional to 415.98, 574.29 and 339.30

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Solution

The fourth proportional to 415.98, 574.29 and 339.30 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.98 : 574.29 = 339.30 : x
  2. Step 2: Convert to fraction form
    415.98/574.29 = 339.30/x
  3. Step 3: Cross multiply
    415.98x = 574.29 × 339.30
  4. Step 4: Simplify right side
    415.98x = 194,856.60
  5. Step 5: Solve for x
    x = 194,856.60/415.98
  6. Step 6: Final answer
    x = 468.43

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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.