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Finding the Fourth Proportional to 415.66, 573.48 and 240.94

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Solution

The fourth proportional to 415.66, 573.48 and 240.94 is: 332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.66 : 573.48 = 240.94 : x
  2. Step 2: Convert to fraction form
    415.66/573.48 = 240.94/x
  3. Step 3: Cross multiply
    415.66x = 573.48 × 240.94
  4. Step 4: Simplify right side
    415.66x = 138,174.27
  5. Step 5: Solve for x
    x = 138,174.27/415.66
  6. Step 6: Final answer
    x = 332.42

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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.