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Finding the Fourth Proportional to 510.32, 765.59 and 185.69

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Solution

The fourth proportional to 510.32, 765.59 and 185.69 is: 278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 765.59 = 185.69 : x
  2. Step 2: Convert to fraction form
    510.32/765.59 = 185.69/x
  3. Step 3: Cross multiply
    510.32x = 765.59 × 185.69
  4. Step 4: Simplify right side
    510.32x = 142,163.39
  5. Step 5: Solve for x
    x = 142,163.39/510.32
  6. Step 6: Final answer
    x = 278.58

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