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Finding the Fourth Proportional to 677.11, 1,016.01 and 311.99

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Solution

The fourth proportional to 677.11, 1,016.01 and 311.99 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 1,016.01 = 311.99 : x
  2. Step 2: Convert to fraction form
    677.11/1,016.01 = 311.99/x
  3. Step 3: Cross multiply
    677.11x = 1,016.01 × 311.99
  4. Step 4: Simplify right side
    677.11x = 316,979.88
  5. Step 5: Solve for x
    x = 316,979.88/677.11
  6. Step 6: Final answer
    x = 468.14

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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.