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Finding the Fourth Proportional to 409.08, 564.56 and 298.92

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Solution

The fourth proportional to 409.08, 564.56 and 298.92 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 564.56 = 298.92 : x
  2. Step 2: Convert to fraction form
    409.08/564.56 = 298.92/x
  3. Step 3: Cross multiply
    409.08x = 564.56 × 298.92
  4. Step 4: Simplify right side
    409.08x = 168,758.28
  5. Step 5: Solve for x
    x = 168,758.28/409.08
  6. Step 6: Final answer
    x = 412.53

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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.