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Finding the Fourth Proportional to 432.23, 649.25 and 367.22

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Solution

The fourth proportional to 432.23, 649.25 and 367.22 is: 551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.23 : 649.25 = 367.22 : x
  2. Step 2: Convert to fraction form
    432.23/649.25 = 367.22/x
  3. Step 3: Cross multiply
    432.23x = 649.25 × 367.22
  4. Step 4: Simplify right side
    432.23x = 238,412.50
  5. Step 5: Solve for x
    x = 238,412.50/432.23
  6. Step 6: Final answer
    x = 551.59

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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.