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Finding the Fourth Proportional to 409.14, 564.76 and 299.18

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Solution

The fourth proportional to 409.14, 564.76 and 299.18 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 564.76 = 299.18 : x
  2. Step 2: Convert to fraction form
    409.14/564.76 = 299.18/x
  3. Step 3: Cross multiply
    409.14x = 564.76 × 299.18
  4. Step 4: Simplify right side
    409.14x = 168,964.90
  5. Step 5: Solve for x
    x = 168,964.90/409.14
  6. Step 6: Final answer
    x = 412.98

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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.