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Finding the Fourth Proportional to 532.48, 800.64 and 404.80

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Solution

The fourth proportional to 532.48, 800.64 and 404.80 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.48 : 800.64 = 404.80 : x
  2. Step 2: Convert to fraction form
    532.48/800.64 = 404.80/x
  3. Step 3: Cross multiply
    532.48x = 800.64 × 404.80
  4. Step 4: Simplify right side
    532.48x = 324,099.07
  5. Step 5: Solve for x
    x = 324,099.07/532.48
  6. Step 6: Final answer
    x = 608.66

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