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Finding the Fourth Proportional to 410.99, 566.19 and 286.43

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Solution

The fourth proportional to 410.99, 566.19 and 286.43 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 566.19 = 286.43 : x
  2. Step 2: Convert to fraction form
    410.99/566.19 = 286.43/x
  3. Step 3: Cross multiply
    410.99x = 566.19 × 286.43
  4. Step 4: Simplify right side
    410.99x = 162,171.69
  5. Step 5: Solve for x
    x = 162,171.69/410.99
  6. Step 6: Final answer
    x = 394.59

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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.