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Finding the Fourth Proportional to 415.85, 573.93 and 241.16

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Solution

The fourth proportional to 415.85, 573.93 and 241.16 is: 332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.85 : 573.93 = 241.16 : x
  2. Step 2: Convert to fraction form
    415.85/573.93 = 241.16/x
  3. Step 3: Cross multiply
    415.85x = 573.93 × 241.16
  4. Step 4: Simplify right side
    415.85x = 138,406.09
  5. Step 5: Solve for x
    x = 138,406.09/415.85
  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.