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Finding the Fourth Proportional to 409.19, 564.68 and 234.57

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Solution

The fourth proportional to 409.19, 564.68 and 234.57 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 564.68 = 234.57 : x
  2. Step 2: Convert to fraction form
    409.19/564.68 = 234.57/x
  3. Step 3: Cross multiply
    409.19x = 564.68 × 234.57
  4. Step 4: Simplify right side
    409.19x = 132,454.16
  5. Step 5: Solve for x
    x = 132,454.16/409.19
  6. Step 6: Final answer
    x = 323.70

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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.