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Finding the Fourth Proportional to 288.16, 432.24 and 71.74

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Solution

The fourth proportional to 288.16, 432.24 and 71.74 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 432.24 = 71.74 : x
  2. Step 2: Convert to fraction form
    288.16/432.24 = 71.74/x
  3. Step 3: Cross multiply
    288.16x = 432.24 × 71.74
  4. Step 4: Simplify right side
    288.16x = 31,009.17
  5. Step 5: Solve for x
    x = 31,009.17/288.16
  6. Step 6: Final answer
    x = 107.61

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