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Finding the Fourth Proportional to 432.40, 596.76 and 266.64

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Solution

The fourth proportional to 432.40, 596.76 and 266.64 is: 367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 596.76 = 266.64 : x
  2. Step 2: Convert to fraction form
    432.40/596.76 = 266.64/x
  3. Step 3: Cross multiply
    432.40x = 596.76 × 266.64
  4. Step 4: Simplify right side
    432.40x = 159,120.09
  5. Step 5: Solve for x
    x = 159,120.09/432.40
  6. Step 6: Final answer
    x = 367.99

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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.