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Finding the Fourth Proportional to 432.93, 649.53 and 201.81

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Solution

The fourth proportional to 432.93, 649.53 and 201.81 is: 302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 649.53 = 201.81 : x
  2. Step 2: Convert to fraction form
    432.93/649.53 = 201.81/x
  3. Step 3: Cross multiply
    432.93x = 649.53 × 201.81
  4. Step 4: Simplify right side
    432.93x = 131,081.65
  5. Step 5: Solve for x
    x = 131,081.65/432.93
  6. Step 6: Final answer
    x = 302.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.