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Finding the Fourth Proportional to 410.54, 566.52 and 286.34

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Solution

The fourth proportional to 410.54, 566.52 and 286.34 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 566.52 = 286.34 : x
  2. Step 2: Convert to fraction form
    410.54/566.52 = 286.34/x
  3. Step 3: Cross multiply
    410.54x = 566.52 × 286.34
  4. Step 4: Simplify right side
    410.54x = 162,217.34
  5. Step 5: Solve for x
    x = 162,217.34/410.54
  6. Step 6: Final answer
    x = 395.13

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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.