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Finding the Fourth Proportional to 564.08, 845.86 and 255.92

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Solution

The fourth proportional to 564.08, 845.86 and 255.92 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 845.86 = 255.92 : x
  2. Step 2: Convert to fraction form
    564.08/845.86 = 255.92/x
  3. Step 3: Cross multiply
    564.08x = 845.86 × 255.92
  4. Step 4: Simplify right side
    564.08x = 216,467.62
  5. Step 5: Solve for x
    x = 216,467.62/564.08
  6. Step 6: Final answer
    x = 383.76

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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.