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Finding the Fourth Proportional to 410.79, 565.68 and 351.54

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Solution

The fourth proportional to 410.79, 565.68 and 351.54 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 565.68 = 351.54 : x
  2. Step 2: Convert to fraction form
    410.79/565.68 = 351.54/x
  3. Step 3: Cross multiply
    410.79x = 565.68 × 351.54
  4. Step 4: Simplify right side
    410.79x = 198,859.15
  5. Step 5: Solve for x
    x = 198,859.15/410.79
  6. Step 6: Final answer
    x = 484.09

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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.