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Finding the Fourth Proportional to 410.94, 566.46 and 286.47

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Solution

The fourth proportional to 410.94, 566.46 and 286.47 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 566.46 = 286.47 : x
  2. Step 2: Convert to fraction form
    410.94/566.46 = 286.47/x
  3. Step 3: Cross multiply
    410.94x = 566.46 × 286.47
  4. Step 4: Simplify right side
    410.94x = 162,273.80
  5. Step 5: Solve for x
    x = 162,273.80/410.94
  6. Step 6: Final answer
    x = 394.88

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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.