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Finding the Fourth Proportional to 679.63, 937.88 and 369.13

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Solution

The fourth proportional to 679.63, 937.88 and 369.13 is: 509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.63 : 937.88 = 369.13 : x
  2. Step 2: Convert to fraction form
    679.63/937.88 = 369.13/x
  3. Step 3: Cross multiply
    679.63x = 937.88 × 369.13
  4. Step 4: Simplify right side
    679.63x = 346,195.88
  5. Step 5: Solve for x
    x = 346,195.88/679.63
  6. Step 6: Final answer
    x = 509.39

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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.