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Finding the Fourth Proportional to 499.88, 750.20 and 256.38

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Solution

The fourth proportional to 499.88, 750.20 and 256.38 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.88 : 750.20 = 256.38 : x
  2. Step 2: Convert to fraction form
    499.88/750.20 = 256.38/x
  3. Step 3: Cross multiply
    499.88x = 750.20 × 256.38
  4. Step 4: Simplify right side
    499.88x = 192,334.99
  5. Step 5: Solve for x
    x = 192,334.99/499.88
  6. Step 6: Final answer
    x = 384.77

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