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Finding the Fourth Proportional to 514.35, 772.74 and 423.23

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Solution

The fourth proportional to 514.35, 772.74 and 423.23 is: 635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.35 : 772.74 = 423.23 : x
  2. Step 2: Convert to fraction form
    514.35/772.74 = 423.23/x
  3. Step 3: Cross multiply
    514.35x = 772.74 × 423.23
  4. Step 4: Simplify right side
    514.35x = 327,042.89
  5. Step 5: Solve for x
    x = 327,042.89/514.35
  6. Step 6: Final answer
    x = 635.84

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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.