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Finding the Fourth Proportional to 415.67, 573.15 and 376.79

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Solution

The fourth proportional to 415.67, 573.15 and 376.79 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.67 : 573.15 = 376.79 : x
  2. Step 2: Convert to fraction form
    415.67/573.15 = 376.79/x
  3. Step 3: Cross multiply
    415.67x = 573.15 × 376.79
  4. Step 4: Simplify right side
    415.67x = 215,957.19
  5. Step 5: Solve for x
    x = 215,957.19/415.67
  6. Step 6: Final answer
    x = 519.54

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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.