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Finding the Fourth Proportional to 482.86, 725.28 and 318.84

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Solution

The fourth proportional to 482.86, 725.28 and 318.84 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.86 : 725.28 = 318.84 : x
  2. Step 2: Convert to fraction form
    482.86/725.28 = 318.84/x
  3. Step 3: Cross multiply
    482.86x = 725.28 × 318.84
  4. Step 4: Simplify right side
    482.86x = 231,248.28
  5. Step 5: Solve for x
    x = 231,248.28/482.86
  6. Step 6: Final answer
    x = 478.91

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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.