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Finding the Fourth Proportional to 421.62, 581.86 and 266.38

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Solution

The fourth proportional to 421.62, 581.86 and 266.38 is: 367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.62 : 581.86 = 266.38 : x
  2. Step 2: Convert to fraction form
    421.62/581.86 = 266.38/x
  3. Step 3: Cross multiply
    421.62x = 581.86 × 266.38
  4. Step 4: Simplify right side
    421.62x = 154,995.87
  5. Step 5: Solve for x
    x = 154,995.87/421.62
  6. Step 6: Final answer
    x = 367.62

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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.