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Finding the Fourth Proportional to 483.33, 724.06 and 461.46

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Solution

The fourth proportional to 483.33, 724.06 and 461.46 is: 691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.33 : 724.06 = 461.46 : x
  2. Step 2: Convert to fraction form
    483.33/724.06 = 461.46/x
  3. Step 3: Cross multiply
    483.33x = 724.06 × 461.46
  4. Step 4: Simplify right side
    483.33x = 334,124.73
  5. Step 5: Solve for x
    x = 334,124.73/483.33
  6. Step 6: Final answer
    x = 691.30

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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.