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Finding the Fourth Proportional to 483.72, 725.79 and 209.88

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Solution

The fourth proportional to 483.72, 725.79 and 209.88 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.72 : 725.79 = 209.88 : x
  2. Step 2: Convert to fraction form
    483.72/725.79 = 209.88/x
  3. Step 3: Cross multiply
    483.72x = 725.79 × 209.88
  4. Step 4: Simplify right side
    483.72x = 152,328.81
  5. Step 5: Solve for x
    x = 152,328.81/483.72
  6. Step 6: Final answer
    x = 314.91

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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.