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Finding the Fourth Proportional to 512.93, 770.77 and 497.90

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Solution

The fourth proportional to 512.93, 770.77 and 497.90 is: 748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.93 : 770.77 = 497.90 : x
  2. Step 2: Convert to fraction form
    512.93/770.77 = 497.90/x
  3. Step 3: Cross multiply
    512.93x = 770.77 × 497.90
  4. Step 4: Simplify right side
    512.93x = 383,761.80
  5. Step 5: Solve for x
    x = 383,761.80/512.93
  6. Step 6: Final answer
    x = 748.17

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