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Finding the Fourth Proportional to 677.17, 934.50 and 366.67

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Solution

The fourth proportional to 677.17, 934.50 and 366.67 is: 506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.17 : 934.50 = 366.67 : x
  2. Step 2: Convert to fraction form
    677.17/934.50 = 366.67/x
  3. Step 3: Cross multiply
    677.17x = 934.50 × 366.67
  4. Step 4: Simplify right side
    677.17x = 342,653.12
  5. Step 5: Solve for x
    x = 342,653.12/677.17
  6. Step 6: Final answer
    x = 506.01

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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.