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Finding the Fourth Proportional to 424.11, 585.09 and 266.67

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Solution

The fourth proportional to 424.11, 585.09 and 266.67 is: 367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.11 : 585.09 = 266.67 : x
  2. Step 2: Convert to fraction form
    424.11/585.09 = 266.67/x
  3. Step 3: Cross multiply
    424.11x = 585.09 × 266.67
  4. Step 4: Simplify right side
    424.11x = 156,025.95
  5. Step 5: Solve for x
    x = 156,025.95/424.11
  6. Step 6: Final answer
    x = 367.89

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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.