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Finding the Fourth Proportional to 432.85, 649.50 and 409.62

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Solution

The fourth proportional to 432.85, 649.50 and 409.62 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.85 : 649.50 = 409.62 : x
  2. Step 2: Convert to fraction form
    432.85/649.50 = 409.62/x
  3. Step 3: Cross multiply
    432.85x = 649.50 × 409.62
  4. Step 4: Simplify right side
    432.85x = 266,048.19
  5. Step 5: Solve for x
    x = 266,048.19/432.85
  6. Step 6: Final answer
    x = 614.64

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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.