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Finding the Fourth Proportional to 563.24, 844.75 and 173.14

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Solution

The fourth proportional to 563.24, 844.75 and 173.14 is: 259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 844.75 = 173.14 : x
  2. Step 2: Convert to fraction form
    563.24/844.75 = 173.14/x
  3. Step 3: Cross multiply
    563.24x = 844.75 × 173.14
  4. Step 4: Simplify right side
    563.24x = 146,259.15
  5. Step 5: Solve for x
    x = 146,259.15/563.24
  6. Step 6: Final answer
    x = 259.67

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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.