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Finding the Fourth Proportional to 408.64, 564 and 234.10

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Solution

The fourth proportional to 408.64, 564 and 234.10 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 564 = 234.10 : x
  2. Step 2: Convert to fraction form
    408.64/564 = 234.10/x
  3. Step 3: Cross multiply
    408.64x = 564 × 234.10
  4. Step 4: Simplify right side
    408.64x = 132,032.40
  5. Step 5: Solve for x
    x = 132,032.40/408.64
  6. Step 6: Final answer
    x = 323.10

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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.