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Finding the Fourth Proportional to 411.02, 566.24 and 286.45

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Solution

The fourth proportional to 411.02, 566.24 and 286.45 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.02 : 566.24 = 286.45 : x
  2. Step 2: Convert to fraction form
    411.02/566.24 = 286.45/x
  3. Step 3: Cross multiply
    411.02x = 566.24 × 286.45
  4. Step 4: Simplify right side
    411.02x = 162,199.80
  5. Step 5: Solve for x
    x = 162,199.80/411.02
  6. Step 6: Final answer
    x = 394.63

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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.