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Finding the Fourth Proportional to 432.28, 596.35 and 266.43

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Solution

The fourth proportional to 432.28, 596.35 and 266.43 is: 367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 596.35 = 266.43 : x
  2. Step 2: Convert to fraction form
    432.28/596.35 = 266.43/x
  3. Step 3: Cross multiply
    432.28x = 596.35 × 266.43
  4. Step 4: Simplify right side
    432.28x = 158,885.53
  5. Step 5: Solve for x
    x = 158,885.53/432.28
  6. Step 6: Final answer
    x = 367.55

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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.