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Finding the Fourth Proportional to 679.60, 937.84 and 369.10

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Solution

The fourth proportional to 679.60, 937.84 and 369.10 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.60 : 937.84 = 369.10 : x
  2. Step 2: Convert to fraction form
    679.60/937.84 = 369.10/x
  3. Step 3: Cross multiply
    679.60x = 937.84 × 369.10
  4. Step 4: Simplify right side
    679.60x = 346,156.74
  5. Step 5: Solve for x
    x = 346,156.74/679.60
  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.