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Finding the Fourth Proportional to 679.83, 938.14 and 369.33

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Solution

The fourth proportional to 679.83, 938.14 and 369.33 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.83 : 938.14 = 369.33 : x
  2. Step 2: Convert to fraction form
    679.83/938.14 = 369.33/x
  3. Step 3: Cross multiply
    679.83x = 938.14 × 369.33
  4. Step 4: Simplify right side
    679.83x = 346,483.25
  5. Step 5: Solve for x
    x = 346,483.25/679.83
  6. Step 6: Final answer
    x = 509.66

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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.