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Finding the Fourth Proportional to 483.35, 725.02 and 411.05

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Solution

The fourth proportional to 483.35, 725.02 and 411.05 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.35 : 725.02 = 411.05 : x
  2. Step 2: Convert to fraction form
    483.35/725.02 = 411.05/x
  3. Step 3: Cross multiply
    483.35x = 725.02 × 411.05
  4. Step 4: Simplify right side
    483.35x = 298,020.26
  5. Step 5: Solve for x
    x = 298,020.26/483.35
  6. Step 6: Final answer
    x = 616.58

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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.