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Finding the Fourth Proportional to 415.50, 573.26 and 240.82

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Solution

The fourth proportional to 415.50, 573.26 and 240.82 is: 332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 573.26 = 240.82 : x
  2. Step 2: Convert to fraction form
    415.50/573.26 = 240.82/x
  3. Step 3: Cross multiply
    415.50x = 573.26 × 240.82
  4. Step 4: Simplify right side
    415.50x = 138,052.47
  5. Step 5: Solve for x
    x = 138,052.47/415.50
  6. Step 6: Final answer
    x = 332.26

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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.