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Finding the Fourth Proportional to 540.84, 809.52 and 296.76

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Solution

The fourth proportional to 540.84, 809.52 and 296.76 is: 444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 809.52 = 296.76 : x
  2. Step 2: Convert to fraction form
    540.84/809.52 = 296.76/x
  3. Step 3: Cross multiply
    540.84x = 809.52 × 296.76
  4. Step 4: Simplify right side
    540.84x = 240,233.16
  5. Step 5: Solve for x
    x = 240,233.16/540.84
  6. Step 6: Final answer
    x = 444.19

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