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Finding the Fourth Proportional to 423.32, 584.48 and 266

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Solution

The fourth proportional to 423.32, 584.48 and 266 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 584.48 = 266 : x
  2. Step 2: Convert to fraction form
    423.32/584.48 = 266/x
  3. Step 3: Cross multiply
    423.32x = 584.48 × 266
  4. Step 4: Simplify right side
    423.32x = 155,471.68
  5. Step 5: Solve for x
    x = 155,471.68/423.32
  6. Step 6: Final answer
    x = 367.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.