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Finding the Fourth Proportional to 421.84, 581.96 and 266.56

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Solution

The fourth proportional to 421.84, 581.96 and 266.56 is: 367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.84 : 581.96 = 266.56 : x
  2. Step 2: Convert to fraction form
    421.84/581.96 = 266.56/x
  3. Step 3: Cross multiply
    421.84x = 581.96 × 266.56
  4. Step 4: Simplify right side
    421.84x = 155,127.26
  5. Step 5: Solve for x
    x = 155,127.26/421.84
  6. Step 6: Final answer
    x = 367.74

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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.