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Finding the Fourth Proportional to 415.76, 573.62 and 241.08

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Solution

The fourth proportional to 415.76, 573.62 and 241.08 is: 332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 573.62 = 241.08 : x
  2. Step 2: Convert to fraction form
    415.76/573.62 = 241.08/x
  3. Step 3: Cross multiply
    415.76x = 573.62 × 241.08
  4. Step 4: Simplify right side
    415.76x = 138,288.31
  5. Step 5: Solve for x
    x = 138,288.31/415.76
  6. Step 6: Final answer
    x = 332.62

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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.