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Finding the Fourth Proportional to 432.53, 648.74 and 227.06

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Solution

The fourth proportional to 432.53, 648.74 and 227.06 is: 340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.53 : 648.74 = 227.06 : x
  2. Step 2: Convert to fraction form
    432.53/648.74 = 227.06/x
  3. Step 3: Cross multiply
    432.53x = 648.74 × 227.06
  4. Step 4: Simplify right side
    432.53x = 147,298.53
  5. Step 5: Solve for x
    x = 147,298.53/432.53
  6. Step 6: Final answer
    x = 340.55

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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.