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Finding the Fourth Proportional to 415.86, 573.87 and 241.19

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Solution

The fourth proportional to 415.86, 573.87 and 241.19 is: 332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 573.87 = 241.19 : x
  2. Step 2: Convert to fraction form
    415.86/573.87 = 241.19/x
  3. Step 3: Cross multiply
    415.86x = 573.87 × 241.19
  4. Step 4: Simplify right side
    415.86x = 138,411.71
  5. Step 5: Solve for x
    x = 138,411.71/415.86
  6. Step 6: Final answer
    x = 332.83

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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.