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Finding the Fourth Proportional to 485.10, 725.73 and 408.24

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Solution

The fourth proportional to 485.10, 725.73 and 408.24 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.10 : 725.73 = 408.24 : x
  2. Step 2: Convert to fraction form
    485.10/725.73 = 408.24/x
  3. Step 3: Cross multiply
    485.10x = 725.73 × 408.24
  4. Step 4: Simplify right side
    485.10x = 296,272.02
  5. Step 5: Solve for x
    x = 296,272.02/485.10
  6. Step 6: Final answer
    x = 610.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.