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Finding the Fourth Proportional to 432.49, 596.84 and 266.65

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Solution

The fourth proportional to 432.49, 596.84 and 266.65 is: 367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.49 : 596.84 = 266.65 : x
  2. Step 2: Convert to fraction form
    432.49/596.84 = 266.65/x
  3. Step 3: Cross multiply
    432.49x = 596.84 × 266.65
  4. Step 4: Simplify right side
    432.49x = 159,147.39
  5. Step 5: Solve for x
    x = 159,147.39/432.49
  6. Step 6: Final answer
    x = 367.98

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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.