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Finding the Fourth Proportional to 510.50, 764.88 and 444.78

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Solution

The fourth proportional to 510.50, 764.88 and 444.78 is: 666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 764.88 = 444.78 : x
  2. Step 2: Convert to fraction form
    510.50/764.88 = 444.78/x
  3. Step 3: Cross multiply
    510.50x = 764.88 × 444.78
  4. Step 4: Simplify right side
    510.50x = 340,203.33
  5. Step 5: Solve for x
    x = 340,203.33/510.50
  6. Step 6: Final answer
    x = 666.41

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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.