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Finding the Fourth Proportional to 483.17, 724.55 and 310.03

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Solution

The fourth proportional to 483.17, 724.55 and 310.03 is: 464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.17 : 724.55 = 310.03 : x
  2. Step 2: Convert to fraction form
    483.17/724.55 = 310.03/x
  3. Step 3: Cross multiply
    483.17x = 724.55 × 310.03
  4. Step 4: Simplify right side
    483.17x = 224,628.87
  5. Step 5: Solve for x
    x = 224,628.87/483.17
  6. Step 6: Final answer
    x = 464.91

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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.