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Finding the Fourth Proportional to 320.75, 442.35 and 202.58

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Solution

The fourth proportional to 320.75, 442.35 and 202.58 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 442.35 = 202.58 : x
  2. Step 2: Convert to fraction form
    320.75/442.35 = 202.58/x
  3. Step 3: Cross multiply
    320.75x = 442.35 × 202.58
  4. Step 4: Simplify right side
    320.75x = 89,611.26
  5. Step 5: Solve for x
    x = 89,611.26/320.75
  6. Step 6: Final answer
    x = 279.38

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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.