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Finding the Fourth Proportional to 483.84, 725.26 and 209.76

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Solution

The fourth proportional to 483.84, 725.26 and 209.76 is: 314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 725.26 = 209.76 : x
  2. Step 2: Convert to fraction form
    483.84/725.26 = 209.76/x
  3. Step 3: Cross multiply
    483.84x = 725.26 × 209.76
  4. Step 4: Simplify right side
    483.84x = 152,130.54
  5. Step 5: Solve for x
    x = 152,130.54/483.84
  6. Step 6: Final answer
    x = 314.42

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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.