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Finding the Fourth Proportional to 483.32, 667.16 and 296.92

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Solution

The fourth proportional to 483.32, 667.16 and 296.92 is: 409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.32 : 667.16 = 296.92 : x
  2. Step 2: Convert to fraction form
    483.32/667.16 = 296.92/x
  3. Step 3: Cross multiply
    483.32x = 667.16 × 296.92
  4. Step 4: Simplify right side
    483.32x = 198,093.15
  5. Step 5: Solve for x
    x = 198,093.15/483.32
  6. Step 6: Final answer
    x = 409.86

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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.