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Finding the Fourth Proportional to 482.78, 724.28 and 209.17

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Solution

The fourth proportional to 482.78, 724.28 and 209.17 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 724.28 = 209.17 : x
  2. Step 2: Convert to fraction form
    482.78/724.28 = 209.17/x
  3. Step 3: Cross multiply
    482.78x = 724.28 × 209.17
  4. Step 4: Simplify right side
    482.78x = 151,497.51
  5. Step 5: Solve for x
    x = 151,497.51/482.78
  6. Step 6: Final answer
    x = 313.80

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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.