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Finding the Fourth Proportional to 486.54, 724.68 and 480.13

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Solution

The fourth proportional to 486.54, 724.68 and 480.13 is: 715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 724.68 = 480.13 : x
  2. Step 2: Convert to fraction form
    486.54/724.68 = 480.13/x
  3. Step 3: Cross multiply
    486.54x = 724.68 × 480.13
  4. Step 4: Simplify right side
    486.54x = 347,938.80
  5. Step 5: Solve for x
    x = 347,938.80/486.54
  6. Step 6: Final answer
    x = 715.13

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