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Finding the Fourth Proportional to 524.80, 724.17 and 303.82

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Solution

The fourth proportional to 524.80, 724.17 and 303.82 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 724.17 = 303.82 : x
  2. Step 2: Convert to fraction form
    524.80/724.17 = 303.82/x
  3. Step 3: Cross multiply
    524.80x = 724.17 × 303.82
  4. Step 4: Simplify right side
    524.80x = 220,020.73
  5. Step 5: Solve for x
    x = 220,020.73/524.80
  6. Step 6: Final answer
    x = 419.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.