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Finding the Fourth Proportional to 613.38, 920.43 and 266.64

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Solution

The fourth proportional to 613.38, 920.43 and 266.64 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 920.43 = 266.64 : x
  2. Step 2: Convert to fraction form
    613.38/920.43 = 266.64/x
  3. Step 3: Cross multiply
    613.38x = 920.43 × 266.64
  4. Step 4: Simplify right side
    613.38x = 245,423.46
  5. Step 5: Solve for x
    x = 245,423.46/613.38
  6. Step 6: Final answer
    x = 400.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.