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Finding the Fourth Proportional to 563.87, 845.67 and 173.86

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Solution

The fourth proportional to 563.87, 845.67 and 173.86 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 845.67 = 173.86 : x
  2. Step 2: Convert to fraction form
    563.87/845.67 = 173.86/x
  3. Step 3: Cross multiply
    563.87x = 845.67 × 173.86
  4. Step 4: Simplify right side
    563.87x = 147,026.72
  5. Step 5: Solve for x
    x = 147,026.72/563.87
  6. Step 6: Final answer
    x = 260.74

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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.