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Finding the Fourth Proportional to 460.78, 691.02 and 152.74

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Solution

The fourth proportional to 460.78, 691.02 and 152.74 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.78 : 691.02 = 152.74 : x
  2. Step 2: Convert to fraction form
    460.78/691.02 = 152.74/x
  3. Step 3: Cross multiply
    460.78x = 691.02 × 152.74
  4. Step 4: Simplify right side
    460.78x = 105,546.39
  5. Step 5: Solve for x
    x = 105,546.39/460.78
  6. Step 6: Final answer
    x = 229.06

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