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Finding the Fourth Proportional to 460.53, 690.72 and 152.37

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Solution

The fourth proportional to 460.53, 690.72 and 152.37 is: 228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 690.72 = 152.37 : x
  2. Step 2: Convert to fraction form
    460.53/690.72 = 152.37/x
  3. Step 3: Cross multiply
    460.53x = 690.72 × 152.37
  4. Step 4: Simplify right side
    460.53x = 105,245.01
  5. Step 5: Solve for x
    x = 105,245.01/460.53
  6. Step 6: Final answer
    x = 228.53

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