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Finding the Fourth Proportional to 409.34, 564.85 and 234.66

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Solution

The fourth proportional to 409.34, 564.85 and 234.66 is: 323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 564.85 = 234.66 : x
  2. Step 2: Convert to fraction form
    409.34/564.85 = 234.66/x
  3. Step 3: Cross multiply
    409.34x = 564.85 × 234.66
  4. Step 4: Simplify right side
    409.34x = 132,547.70
  5. Step 5: Solve for x
    x = 132,547.70/409.34
  6. Step 6: Final answer
    x = 323.81

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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.