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Finding the Fourth Proportional to 408.54, 564 and 298.86

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Solution

The fourth proportional to 408.54, 564 and 298.86 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 564 = 298.86 : x
  2. Step 2: Convert to fraction form
    408.54/564 = 298.86/x
  3. Step 3: Cross multiply
    408.54x = 564 × 298.86
  4. Step 4: Simplify right side
    408.54x = 168,557.04
  5. Step 5: Solve for x
    x = 168,557.04/408.54
  6. Step 6: Final answer
    x = 412.58

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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.