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Finding the Fourth Proportional to 423.46, 584.20 and 266.05

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Solution

The fourth proportional to 423.46, 584.20 and 266.05 is: 367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 584.20 = 266.05 : x
  2. Step 2: Convert to fraction form
    423.46/584.20 = 266.05/x
  3. Step 3: Cross multiply
    423.46x = 584.20 × 266.05
  4. Step 4: Simplify right side
    423.46x = 155,424.15
  5. Step 5: Solve for x
    x = 155,424.15/423.46
  6. Step 6: Final answer
    x = 367.03

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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.