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Finding the Fourth Proportional to 421.78, 581.97 and 266.50

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Solution

The fourth proportional to 421.78, 581.97 and 266.50 is: 367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 581.97 = 266.50 : x
  2. Step 2: Convert to fraction form
    421.78/581.97 = 266.50/x
  3. Step 3: Cross multiply
    421.78x = 581.97 × 266.50
  4. Step 4: Simplify right side
    421.78x = 155,095.01
  5. Step 5: Solve for x
    x = 155,095.01/421.78
  6. Step 6: Final answer
    x = 367.72

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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.