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Finding the Fourth Proportional to 483.19, 724.86 and 175.03

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Solution

The fourth proportional to 483.19, 724.86 and 175.03 is: 262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.19 : 724.86 = 175.03 : x
  2. Step 2: Convert to fraction form
    483.19/724.86 = 175.03/x
  3. Step 3: Cross multiply
    483.19x = 724.86 × 175.03
  4. Step 4: Simplify right side
    483.19x = 126,872.25
  5. Step 5: Solve for x
    x = 126,872.25/483.19
  6. Step 6: Final answer
    x = 262.57

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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.