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Finding the Fourth Proportional to 510.09, 764.90 and 185.42

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Solution

The fourth proportional to 510.09, 764.90 and 185.42 is: 278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 764.90 = 185.42 : x
  2. Step 2: Convert to fraction form
    510.09/764.90 = 185.42/x
  3. Step 3: Cross multiply
    510.09x = 764.90 × 185.42
  4. Step 4: Simplify right side
    510.09x = 141,823.01
  5. Step 5: Solve for x
    x = 141,823.01/510.09
  6. Step 6: Final answer
    x = 278.04

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