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Finding the Fourth Proportional to 871.92, 1,308 and 294.96

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Solution

The fourth proportional to 871.92, 1,308 and 294.96 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,308 = 294.96 : x
  2. Step 2: Convert to fraction form
    871.92/1,308 = 294.96/x
  3. Step 3: Cross multiply
    871.92x = 1,308 × 294.96
  4. Step 4: Simplify right side
    871.92x = 385,807.68
  5. Step 5: Solve for x
    x = 385,807.68/871.92
  6. Step 6: Final answer
    x = 442.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.