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Finding the Fourth Proportional to 563.53, 845.29 and 173.53

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Solution

The fourth proportional to 563.53, 845.29 and 173.53 is: 260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.53 : 845.29 = 173.53 : x
  2. Step 2: Convert to fraction form
    563.53/845.29 = 173.53/x
  3. Step 3: Cross multiply
    563.53x = 845.29 × 173.53
  4. Step 4: Simplify right side
    563.53x = 146,683.17
  5. Step 5: Solve for x
    x = 146,683.17/563.53
  6. Step 6: Final answer
    x = 260.29

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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.