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Finding the Fourth Proportional to 410.18, 565.96 and 285.79

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Solution

The fourth proportional to 410.18, 565.96 and 285.79 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.18 : 565.96 = 285.79 : x
  2. Step 2: Convert to fraction form
    410.18/565.96 = 285.79/x
  3. Step 3: Cross multiply
    410.18x = 565.96 × 285.79
  4. Step 4: Simplify right side
    410.18x = 161,745.71
  5. Step 5: Solve for x
    x = 161,745.71/410.18
  6. Step 6: Final answer
    x = 394.33

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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.