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Finding the Fourth Proportional to 677.24, 1,015.78 and 311.92

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Solution

The fourth proportional to 677.24, 1,015.78 and 311.92 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.24 : 1,015.78 = 311.92 : x
  2. Step 2: Convert to fraction form
    677.24/1,015.78 = 311.92/x
  3. Step 3: Cross multiply
    677.24x = 1,015.78 × 311.92
  4. Step 4: Simplify right side
    677.24x = 316,842.10
  5. Step 5: Solve for x
    x = 316,842.10/677.24
  6. Step 6: Final answer
    x = 467.84

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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.