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Finding the Fourth Proportional to 568, 782.88 and 509.92

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Solution

The fourth proportional to 568, 782.88 and 509.92 is: 702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568 : 782.88 = 509.92 : x
  2. Step 2: Convert to fraction form
    568/782.88 = 509.92/x
  3. Step 3: Cross multiply
    568x = 782.88 × 509.92
  4. Step 4: Simplify right side
    568x = 399,206.17
  5. Step 5: Solve for x
    x = 399,206.17/568
  6. Step 6: Final answer
    x = 702.83

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