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Finding the Fourth Proportional to 678.56, 1,016.48 and 312.84

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Solution

The fourth proportional to 678.56, 1,016.48 and 312.84 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 1,016.48 = 312.84 : x
  2. Step 2: Convert to fraction form
    678.56/1,016.48 = 312.84/x
  3. Step 3: Cross multiply
    678.56x = 1,016.48 × 312.84
  4. Step 4: Simplify right side
    678.56x = 317,994.04
  5. Step 5: Solve for x
    x = 317,994.04/678.56
  6. Step 6: Final answer
    x = 468.63

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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.