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Finding the Fourth Proportional to 524.78, 785.80 and 369.86

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Solution

The fourth proportional to 524.78, 785.80 and 369.86 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 785.80 = 369.86 : x
  2. Step 2: Convert to fraction form
    524.78/785.80 = 369.86/x
  3. Step 3: Cross multiply
    524.78x = 785.80 × 369.86
  4. Step 4: Simplify right side
    524.78x = 290,635.99
  5. Step 5: Solve for x
    x = 290,635.99/524.78
  6. Step 6: Final answer
    x = 553.82

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