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Finding the Fourth Proportional to 483.78, 725.58 and 209.82

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Solution

The fourth proportional to 483.78, 725.58 and 209.82 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.78 : 725.58 = 209.82 : x
  2. Step 2: Convert to fraction form
    483.78/725.58 = 209.82/x
  3. Step 3: Cross multiply
    483.78x = 725.58 × 209.82
  4. Step 4: Simplify right side
    483.78x = 152,241.20
  5. Step 5: Solve for x
    x = 152,241.20/483.78
  6. Step 6: Final answer
    x = 314.69

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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.