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Finding the Fourth Proportional to 613.55, 920.72 and 267.07

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Solution

The fourth proportional to 613.55, 920.72 and 267.07 is: 400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.55 : 920.72 = 267.07 : x
  2. Step 2: Convert to fraction form
    613.55/920.72 = 267.07/x
  3. Step 3: Cross multiply
    613.55x = 920.72 × 267.07
  4. Step 4: Simplify right side
    613.55x = 245,895.06
  5. Step 5: Solve for x
    x = 245,895.06/613.55
  6. Step 6: Final answer
    x = 400.78

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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.