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Finding the Fourth Proportional to 678.01, 1,016.49 and 312.70

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Solution

The fourth proportional to 678.01, 1,016.49 and 312.70 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.01 : 1,016.49 = 312.70 : x
  2. Step 2: Convert to fraction form
    678.01/1,016.49 = 312.70/x
  3. Step 3: Cross multiply
    678.01x = 1,016.49 × 312.70
  4. Step 4: Simplify right side
    678.01x = 317,856.42
  5. Step 5: Solve for x
    x = 317,856.42/678.01
  6. Step 6: Final answer
    x = 468.81

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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.