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Finding the Fourth Proportional to 678.84, 1,017.92 and 313.70

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Solution

The fourth proportional to 678.84, 1,017.92 and 313.70 is: 470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 1,017.92 = 313.70 : x
  2. Step 2: Convert to fraction form
    678.84/1,017.92 = 313.70/x
  3. Step 3: Cross multiply
    678.84x = 1,017.92 × 313.70
  4. Step 4: Simplify right side
    678.84x = 319,321.50
  5. Step 5: Solve for x
    x = 319,321.50/678.84
  6. Step 6: Final answer
    x = 470.39

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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.