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Finding the Fourth Proportional to 415.65, 573.50 and 240.89

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Solution

The fourth proportional to 415.65, 573.50 and 240.89 is: 332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 573.50 = 240.89 : x
  2. Step 2: Convert to fraction form
    415.65/573.50 = 240.89/x
  3. Step 3: Cross multiply
    415.65x = 573.50 × 240.89
  4. Step 4: Simplify right side
    415.65x = 138,151.38
  5. Step 5: Solve for x
    x = 138,151.38/415.65
  6. Step 6: Final answer
    x = 332.38

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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.