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Finding the Fourth Proportional to 509.50, 702.91 and 322.92

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Solution

The fourth proportional to 509.50, 702.91 and 322.92 is: 445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 702.91 = 322.92 : x
  2. Step 2: Convert to fraction form
    509.50/702.91 = 322.92/x
  3. Step 3: Cross multiply
    509.50x = 702.91 × 322.92
  4. Step 4: Simplify right side
    509.50x = 226,983.70
  5. Step 5: Solve for x
    x = 226,983.70/509.50
  6. Step 6: Final answer
    x = 445.50

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