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Finding the Fourth Proportional to 532.93, 735.40 and 296.86

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Solution

The fourth proportional to 532.93, 735.40 and 296.86 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.93 : 735.40 = 296.86 : x
  2. Step 2: Convert to fraction form
    532.93/735.40 = 296.86/x
  3. Step 3: Cross multiply
    532.93x = 735.40 × 296.86
  4. Step 4: Simplify right side
    532.93x = 218,309.19
  5. Step 5: Solve for x
    x = 218,309.19/532.93
  6. Step 6: Final answer
    x = 409.64

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