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Finding the Fourth Proportional to 498.20, 743.53 and 485.24

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Solution

The fourth proportional to 498.20, 743.53 and 485.24 is: 724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.20 : 743.53 = 485.24 : x
  2. Step 2: Convert to fraction form
    498.20/743.53 = 485.24/x
  3. Step 3: Cross multiply
    498.20x = 743.53 × 485.24
  4. Step 4: Simplify right side
    498.20x = 360,784.66
  5. Step 5: Solve for x
    x = 360,784.66/498.20
  6. Step 6: Final answer
    x = 724.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.