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Finding the Fourth Proportional to 460.89, 691.21 and 152.75

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Solution

The fourth proportional to 460.89, 691.21 and 152.75 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 691.21 = 152.75 : x
  2. Step 2: Convert to fraction form
    460.89/691.21 = 152.75/x
  3. Step 3: Cross multiply
    460.89x = 691.21 × 152.75
  4. Step 4: Simplify right side
    460.89x = 105,581.38
  5. Step 5: Solve for x
    x = 105,581.38/460.89
  6. Step 6: Final answer
    x = 229.08

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