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Finding the Fourth Proportional to 563.93, 845.97 and 255.86

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Solution

The fourth proportional to 563.93, 845.97 and 255.86 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 845.97 = 255.86 : x
  2. Step 2: Convert to fraction form
    563.93/845.97 = 255.86/x
  3. Step 3: Cross multiply
    563.93x = 845.97 × 255.86
  4. Step 4: Simplify right side
    563.93x = 216,444.38
  5. Step 5: Solve for x
    x = 216,444.38/563.93
  6. Step 6: Final answer
    x = 383.82

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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.