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Finding the Fourth Proportional to 510.42, 764.28 and 266.88

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Solution

The fourth proportional to 510.42, 764.28 and 266.88 is: 399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 764.28 = 266.88 : x
  2. Step 2: Convert to fraction form
    510.42/764.28 = 266.88/x
  3. Step 3: Cross multiply
    510.42x = 764.28 × 266.88
  4. Step 4: Simplify right side
    510.42x = 203,971.05
  5. Step 5: Solve for x
    x = 203,971.05/510.42
  6. Step 6: Final answer
    x = 399.61

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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.