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Finding the Fourth Proportional to 485.84, 728.12 and 280.30

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Solution

The fourth proportional to 485.84, 728.12 and 280.30 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 728.12 = 280.30 : x
  2. Step 2: Convert to fraction form
    485.84/728.12 = 280.30/x
  3. Step 3: Cross multiply
    485.84x = 728.12 × 280.30
  4. Step 4: Simplify right side
    485.84x = 204,092.04
  5. Step 5: Solve for x
    x = 204,092.04/485.84
  6. Step 6: Final answer
    x = 420.08

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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.