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Finding the Fourth Proportional to 506.61, 699 and 296.76

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Solution

The fourth proportional to 506.61, 699 and 296.76 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 699 = 296.76 : x
  2. Step 2: Convert to fraction form
    506.61/699 = 296.76/x
  3. Step 3: Cross multiply
    506.61x = 699 × 296.76
  4. Step 4: Simplify right side
    506.61x = 207,435.24
  5. Step 5: Solve for x
    x = 207,435.24/506.61
  6. Step 6: Final answer
    x = 409.46

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