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Finding the Fourth Proportional to 320.72, 442.76 and 204.40

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Solution

The fourth proportional to 320.72, 442.76 and 204.40 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 442.76 = 204.40 : x
  2. Step 2: Convert to fraction form
    320.72/442.76 = 204.40/x
  3. Step 3: Cross multiply
    320.72x = 442.76 × 204.40
  4. Step 4: Simplify right side
    320.72x = 90,500.14
  5. Step 5: Solve for x
    x = 90,500.14/320.72
  6. Step 6: Final answer
    x = 282.18

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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.