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Finding the Fourth Proportional to 415.57, 573.46 and 240.91

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Solution

The fourth proportional to 415.57, 573.46 and 240.91 is: 332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.57 : 573.46 = 240.91 : x
  2. Step 2: Convert to fraction form
    415.57/573.46 = 240.91/x
  3. Step 3: Cross multiply
    415.57x = 573.46 × 240.91
  4. Step 4: Simplify right side
    415.57x = 138,152.25
  5. Step 5: Solve for x
    x = 138,152.25/415.57
  6. Step 6: Final answer
    x = 332.44

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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.