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Finding the Fourth Proportional to 677.13, 934.43 and 366.63

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Solution

The fourth proportional to 677.13, 934.43 and 366.63 is: 505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.13 : 934.43 = 366.63 : x
  2. Step 2: Convert to fraction form
    677.13/934.43 = 366.63/x
  3. Step 3: Cross multiply
    677.13x = 934.43 × 366.63
  4. Step 4: Simplify right side
    677.13x = 342,590.07
  5. Step 5: Solve for x
    x = 342,590.07/677.13
  6. Step 6: Final answer
    x = 505.94

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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.