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Finding the Fourth Proportional to 397.84, 549 and 220.79

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Solution

The fourth proportional to 397.84, 549 and 220.79 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 549 = 220.79 : x
  2. Step 2: Convert to fraction form
    397.84/549 = 220.79/x
  3. Step 3: Cross multiply
    397.84x = 549 × 220.79
  4. Step 4: Simplify right side
    397.84x = 121,213.71
  5. Step 5: Solve for x
    x = 121,213.71/397.84
  6. Step 6: Final answer
    x = 304.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.