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Finding the Fourth Proportional to 409.17, 564.74 and 234.63

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Solution

The fourth proportional to 409.17, 564.74 and 234.63 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.17 : 564.74 = 234.63 : x
  2. Step 2: Convert to fraction form
    409.17/564.74 = 234.63/x
  3. Step 3: Cross multiply
    409.17x = 564.74 × 234.63
  4. Step 4: Simplify right side
    409.17x = 132,503.77
  5. Step 5: Solve for x
    x = 132,503.77/409.17
  6. Step 6: Final answer
    x = 323.84

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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.