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Finding the Fourth Proportional to 432.20, 649.52 and 335

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Solution

The fourth proportional to 432.20, 649.52 and 335 is: 503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.20 : 649.52 = 335 : x
  2. Step 2: Convert to fraction form
    432.20/649.52 = 335/x
  3. Step 3: Cross multiply
    432.20x = 649.52 × 335
  4. Step 4: Simplify right side
    432.20x = 217,589.20
  5. Step 5: Solve for x
    x = 217,589.20/432.20
  6. Step 6: Final answer
    x = 503.45

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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.