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Finding the Fourth Proportional to 432.80, 596.96 and 266.96

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Solution

The fourth proportional to 432.80, 596.96 and 266.96 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 596.96 = 266.96 : x
  2. Step 2: Convert to fraction form
    432.80/596.96 = 266.96/x
  3. Step 3: Cross multiply
    432.80x = 596.96 × 266.96
  4. Step 4: Simplify right side
    432.80x = 159,364.44
  5. Step 5: Solve for x
    x = 159,364.44/432.80
  6. Step 6: Final answer
    x = 368.22

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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.