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Finding the Fourth Proportional to 510.20, 764.59 and 266.24

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Solution

The fourth proportional to 510.20, 764.59 and 266.24 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 764.59 = 266.24 : x
  2. Step 2: Convert to fraction form
    510.20/764.59 = 266.24/x
  3. Step 3: Cross multiply
    510.20x = 764.59 × 266.24
  4. Step 4: Simplify right side
    510.20x = 203,561.89
  5. Step 5: Solve for x
    x = 203,561.89/510.20
  6. Step 6: Final answer
    x = 398.99

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