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Finding the Fourth Proportional to 677.11, 1,015.31 and 311.58

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Solution

The fourth proportional to 677.11, 1,015.31 and 311.58 is: 467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 1,015.31 = 311.58 : x
  2. Step 2: Convert to fraction form
    677.11/1,015.31 = 311.58/x
  3. Step 3: Cross multiply
    677.11x = 1,015.31 × 311.58
  4. Step 4: Simplify right side
    677.11x = 316,351.07
  5. Step 5: Solve for x
    x = 316,351.07/677.11
  6. Step 6: Final answer
    x = 467.21

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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.