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Finding the Fourth Proportional to 678.48, 1,017.34 and 313.54

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Solution

The fourth proportional to 678.48, 1,017.34 and 313.54 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.48 : 1,017.34 = 313.54 : x
  2. Step 2: Convert to fraction form
    678.48/1,017.34 = 313.54/x
  3. Step 3: Cross multiply
    678.48x = 1,017.34 × 313.54
  4. Step 4: Simplify right side
    678.48x = 318,976.78
  5. Step 5: Solve for x
    x = 318,976.78/678.48
  6. Step 6: Final answer
    x = 470.13

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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.