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Finding the Fourth Proportional to 679.24, 1,017.72 and 332.74

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Solution

The fourth proportional to 679.24, 1,017.72 and 332.74 is: 498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.24 : 1,017.72 = 332.74 : x
  2. Step 2: Convert to fraction form
    679.24/1,017.72 = 332.74/x
  3. Step 3: Cross multiply
    679.24x = 1,017.72 × 332.74
  4. Step 4: Simplify right side
    679.24x = 338,636.15
  5. Step 5: Solve for x
    x = 338,636.15/679.24
  6. Step 6: Final answer
    x = 498.55

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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.