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Finding the Fourth Proportional to 510.11, 764.47 and 266.13

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Solution

The fourth proportional to 510.11, 764.47 and 266.13 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.11 : 764.47 = 266.13 : x
  2. Step 2: Convert to fraction form
    510.11/764.47 = 266.13/x
  3. Step 3: Cross multiply
    510.11x = 764.47 × 266.13
  4. Step 4: Simplify right side
    510.11x = 203,447.74
  5. Step 5: Solve for x
    x = 203,447.74/510.11
  6. Step 6: Final answer
    x = 398.84

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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.