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Finding the Fourth Proportional to 564.06, 844.87 and 271.11

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Solution

The fourth proportional to 564.06, 844.87 and 271.11 is: 406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 844.87 = 271.11 : x
  2. Step 2: Convert to fraction form
    564.06/844.87 = 271.11/x
  3. Step 3: Cross multiply
    564.06x = 844.87 × 271.11
  4. Step 4: Simplify right side
    564.06x = 229,052.71
  5. Step 5: Solve for x
    x = 229,052.71/564.06
  6. Step 6: Final answer
    x = 406.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.