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Finding the Fourth Proportional to 432.24, 596.57 and 266.59

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Solution

The fourth proportional to 432.24, 596.57 and 266.59 is: 367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 596.57 = 266.59 : x
  2. Step 2: Convert to fraction form
    432.24/596.57 = 266.59/x
  3. Step 3: Cross multiply
    432.24x = 596.57 × 266.59
  4. Step 4: Simplify right side
    432.24x = 159,039.01
  5. Step 5: Solve for x
    x = 159,039.01/432.24
  6. Step 6: Final answer
    x = 367.94

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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.