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Finding the Fourth Proportional to 482.39, 724.24 and 299.23

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Solution

The fourth proportional to 482.39, 724.24 and 299.23 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.39 : 724.24 = 299.23 : x
  2. Step 2: Convert to fraction form
    482.39/724.24 = 299.23/x
  3. Step 3: Cross multiply
    482.39x = 724.24 × 299.23
  4. Step 4: Simplify right side
    482.39x = 216,712.90
  5. Step 5: Solve for x
    x = 216,712.90/482.39
  6. Step 6: Final answer
    x = 449.25

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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.