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Finding the Fourth Proportional to 687.82, 1,031.65 and 358.40

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Solution

The fourth proportional to 687.82, 1,031.65 and 358.40 is: 537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.82 : 1,031.65 = 358.40 : x
  2. Step 2: Convert to fraction form
    687.82/1,031.65 = 358.40/x
  3. Step 3: Cross multiply
    687.82x = 1,031.65 × 358.40
  4. Step 4: Simplify right side
    687.82x = 369,741.57
  5. Step 5: Solve for x
    x = 369,741.57/687.82
  6. Step 6: Final answer
    x = 537.56

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