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Finding the Fourth Proportional to 423.74, 584.88 and 266.27

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Solution

The fourth proportional to 423.74, 584.88 and 266.27 is: 367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 584.88 = 266.27 : x
  2. Step 2: Convert to fraction form
    423.74/584.88 = 266.27/x
  3. Step 3: Cross multiply
    423.74x = 584.88 × 266.27
  4. Step 4: Simplify right side
    423.74x = 155,733.07
  5. Step 5: Solve for x
    x = 155,733.07/423.74
  6. Step 6: Final answer
    x = 367.52

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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.