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Finding the Fourth Proportional to 677.16, 934.48 and 366.66

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Solution

The fourth proportional to 677.16, 934.48 and 366.66 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 934.48 = 366.66 : x
  2. Step 2: Convert to fraction form
    677.16/934.48 = 366.66/x
  3. Step 3: Cross multiply
    677.16x = 934.48 × 366.66
  4. Step 4: Simplify right side
    677.16x = 342,629.93
  5. Step 5: Solve for x
    x = 342,629.93/677.16
  6. Step 6: Final answer
    x = 505.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.