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Finding the Fourth Proportional to 410.46, 566.23 and 286.23

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Solution

The fourth proportional to 410.46, 566.23 and 286.23 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 566.23 = 286.23 : x
  2. Step 2: Convert to fraction form
    410.46/566.23 = 286.23/x
  3. Step 3: Cross multiply
    410.46x = 566.23 × 286.23
  4. Step 4: Simplify right side
    410.46x = 162,072.01
  5. Step 5: Solve for x
    x = 162,072.01/410.46
  6. Step 6: Final answer
    x = 394.85

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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.