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Finding the Fourth Proportional to 678.41, 1,017.74 and 313.57

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Solution

The fourth proportional to 678.41, 1,017.74 and 313.57 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.41 : 1,017.74 = 313.57 : x
  2. Step 2: Convert to fraction form
    678.41/1,017.74 = 313.57/x
  3. Step 3: Cross multiply
    678.41x = 1,017.74 × 313.57
  4. Step 4: Simplify right side
    678.41x = 319,130.97
  5. Step 5: Solve for x
    x = 319,130.97/678.41
  6. Step 6: Final answer
    x = 470.41

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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.