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Finding the Fourth Proportional to 679.58, 1,019.49 and 314.30

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Solution

The fourth proportional to 679.58, 1,019.49 and 314.30 is: 471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.58 : 1,019.49 = 314.30 : x
  2. Step 2: Convert to fraction form
    679.58/1,019.49 = 314.30/x
  3. Step 3: Cross multiply
    679.58x = 1,019.49 × 314.30
  4. Step 4: Simplify right side
    679.58x = 320,425.71
  5. Step 5: Solve for x
    x = 320,425.71/679.58
  6. Step 6: Final answer
    x = 471.51

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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.