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Finding the Fourth Proportional to 320.78, 442.71 and 202.79

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Solution

The fourth proportional to 320.78, 442.71 and 202.79 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.78 : 442.71 = 202.79 : x
  2. Step 2: Convert to fraction form
    320.78/442.71 = 202.79/x
  3. Step 3: Cross multiply
    320.78x = 442.71 × 202.79
  4. Step 4: Simplify right side
    320.78x = 89,774.95
  5. Step 5: Solve for x
    x = 89,774.95/320.78
  6. Step 6: Final answer
    x = 279.87

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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.