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Finding the Fourth Proportional to 564.11, 844.86 and 332.54

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Solution

The fourth proportional to 564.11, 844.86 and 332.54 is: 498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.11 : 844.86 = 332.54 : x
  2. Step 2: Convert to fraction form
    564.11/844.86 = 332.54/x
  3. Step 3: Cross multiply
    564.11x = 844.86 × 332.54
  4. Step 4: Simplify right side
    564.11x = 280,949.74
  5. Step 5: Solve for x
    x = 280,949.74/564.11
  6. Step 6: Final answer
    x = 498.04

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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.