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Finding the Fourth Proportional to 320.39, 442.01 and 202.34

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Solution

The fourth proportional to 320.39, 442.01 and 202.34 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.39 : 442.01 = 202.34 : x
  2. Step 2: Convert to fraction form
    320.39/442.01 = 202.34/x
  3. Step 3: Cross multiply
    320.39x = 442.01 × 202.34
  4. Step 4: Simplify right side
    320.39x = 89,434.09
  5. Step 5: Solve for x
    x = 89,434.09/320.39
  6. Step 6: Final answer
    x = 279.14

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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.