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Finding the Fourth Proportional to 483.68, 724.91 and 209.47

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Solution

The fourth proportional to 483.68, 724.91 and 209.47 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.68 : 724.91 = 209.47 : x
  2. Step 2: Convert to fraction form
    483.68/724.91 = 209.47/x
  3. Step 3: Cross multiply
    483.68x = 724.91 × 209.47
  4. Step 4: Simplify right side
    483.68x = 151,845.40
  5. Step 5: Solve for x
    x = 151,845.40/483.68
  6. Step 6: Final answer
    x = 313.94

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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.