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Finding the Fourth Proportional to 483.40, 724.98 and 278.02

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Solution

The fourth proportional to 483.40, 724.98 and 278.02 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.40 : 724.98 = 278.02 : x
  2. Step 2: Convert to fraction form
    483.40/724.98 = 278.02/x
  3. Step 3: Cross multiply
    483.40x = 724.98 × 278.02
  4. Step 4: Simplify right side
    483.40x = 201,558.94
  5. Step 5: Solve for x
    x = 201,558.94/483.40
  6. Step 6: Final answer
    x = 416.96

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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.