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Finding the Fourth Proportional to 563.96, 845.94 and 255.74

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Solution

The fourth proportional to 563.96, 845.94 and 255.74 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 845.94 = 255.74 : x
  2. Step 2: Convert to fraction form
    563.96/845.94 = 255.74/x
  3. Step 3: Cross multiply
    563.96x = 845.94 × 255.74
  4. Step 4: Simplify right side
    563.96x = 216,336.47
  5. Step 5: Solve for x
    x = 216,336.47/563.96
  6. Step 6: Final answer
    x = 383.61

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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.