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Finding the Fourth Proportional to 415.42, 573.28 and 240.75

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Solution

The fourth proportional to 415.42, 573.28 and 240.75 is: 332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 573.28 = 240.75 : x
  2. Step 2: Convert to fraction form
    415.42/573.28 = 240.75/x
  3. Step 3: Cross multiply
    415.42x = 573.28 × 240.75
  4. Step 4: Simplify right side
    415.42x = 138,016.56
  5. Step 5: Solve for x
    x = 138,016.56/415.42
  6. Step 6: Final answer
    x = 332.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.