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Finding the Fourth Proportional to 482.78, 724.18 and 319.30

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Solution

The fourth proportional to 482.78, 724.18 and 319.30 is: 478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 724.18 = 319.30 : x
  2. Step 2: Convert to fraction form
    482.78/724.18 = 319.30/x
  3. Step 3: Cross multiply
    482.78x = 724.18 × 319.30
  4. Step 4: Simplify right side
    482.78x = 231,228.86
  5. Step 5: Solve for x
    x = 231,228.86/482.78
  6. Step 6: Final answer
    x = 478.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.