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Finding the Fourth Proportional to 377.07, 520.61 and 266.37

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Solution

The fourth proportional to 377.07, 520.61 and 266.37 is: 367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.07 : 520.61 = 266.37 : x
  2. Step 2: Convert to fraction form
    377.07/520.61 = 266.37/x
  3. Step 3: Cross multiply
    377.07x = 520.61 × 266.37
  4. Step 4: Simplify right side
    377.07x = 138,673.55
  5. Step 5: Solve for x
    x = 138,673.55/377.07
  6. Step 6: Final answer
    x = 367.77

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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.