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Finding the Fourth Proportional to 677.79, 935.35 and 367.29

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Solution

The fourth proportional to 677.79, 935.35 and 367.29 is: 506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.79 : 935.35 = 367.29 : x
  2. Step 2: Convert to fraction form
    677.79/935.35 = 367.29/x
  3. Step 3: Cross multiply
    677.79x = 935.35 × 367.29
  4. Step 4: Simplify right side
    677.79x = 343,544.70
  5. Step 5: Solve for x
    x = 343,544.70/677.79
  6. Step 6: Final answer
    x = 506.86

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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.