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Finding the Fourth Proportional to 483.30, 724.77 and 209.25

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Solution

The fourth proportional to 483.30, 724.77 and 209.25 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.30 : 724.77 = 209.25 : x
  2. Step 2: Convert to fraction form
    483.30/724.77 = 209.25/x
  3. Step 3: Cross multiply
    483.30x = 724.77 × 209.25
  4. Step 4: Simplify right side
    483.30x = 151,658.12
  5. Step 5: Solve for x
    x = 151,658.12/483.30
  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.