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Finding the Fourth Proportional to 678.21, 1,016.96 and 312.68

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Solution

The fourth proportional to 678.21, 1,016.96 and 312.68 is: 468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.21 : 1,016.96 = 312.68 : x
  2. Step 2: Convert to fraction form
    678.21/1,016.96 = 312.68/x
  3. Step 3: Cross multiply
    678.21x = 1,016.96 × 312.68
  4. Step 4: Simplify right side
    678.21x = 317,984.03
  5. Step 5: Solve for x
    x = 317,984.03/678.21
  6. Step 6: Final answer
    x = 468.86

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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.