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Finding the Fourth Proportional to 677.64, 935.14 and 367.14

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Solution

The fourth proportional to 677.64, 935.14 and 367.14 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 935.14 = 367.14 : x
  2. Step 2: Convert to fraction form
    677.64/935.14 = 367.14/x
  3. Step 3: Cross multiply
    677.64x = 935.14 × 367.14
  4. Step 4: Simplify right side
    677.64x = 343,329.49
  5. Step 5: Solve for x
    x = 343,329.49/677.64
  6. Step 6: Final answer
    x = 506.65

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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.