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Finding the Fourth Proportional to 320.92, 442.46 and 237.98

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Solution

The fourth proportional to 320.92, 442.46 and 237.98 is: 328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.92 : 442.46 = 237.98 : x
  2. Step 2: Convert to fraction form
    320.92/442.46 = 237.98/x
  3. Step 3: Cross multiply
    320.92x = 442.46 × 237.98
  4. Step 4: Simplify right side
    320.92x = 105,298.33
  5. Step 5: Solve for x
    x = 105,298.33/320.92
  6. Step 6: Final answer
    x = 328.12

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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.