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Finding the Fourth Proportional to 410.01, 565.71 and 241.92

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Solution

The fourth proportional to 410.01, 565.71 and 241.92 is: 333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.01 : 565.71 = 241.92 : x
  2. Step 2: Convert to fraction form
    410.01/565.71 = 241.92/x
  3. Step 3: Cross multiply
    410.01x = 565.71 × 241.92
  4. Step 4: Simplify right side
    410.01x = 136,856.56
  5. Step 5: Solve for x
    x = 136,856.56/410.01
  6. Step 6: Final answer
    x = 333.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.