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Finding the Fourth Proportional to 679.59, 937.84 and 369.09

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Solution

The fourth proportional to 679.59, 937.84 and 369.09 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.59 : 937.84 = 369.09 : x
  2. Step 2: Convert to fraction form
    679.59/937.84 = 369.09/x
  3. Step 3: Cross multiply
    679.59x = 937.84 × 369.09
  4. Step 4: Simplify right side
    679.59x = 346,150.65
  5. Step 5: Solve for x
    x = 346,150.65/679.59
  6. Step 6: Final answer
    x = 509.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.