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Finding the Fourth Proportional to 670.72, 1,006.24 and 286

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Solution

The fourth proportional to 670.72, 1,006.24 and 286 is: 429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.72 : 1,006.24 = 286 : x
  2. Step 2: Convert to fraction form
    670.72/1,006.24 = 286/x
  3. Step 3: Cross multiply
    670.72x = 1,006.24 × 286
  4. Step 4: Simplify right side
    670.72x = 287,784.64
  5. Step 5: Solve for x
    x = 287,784.64/670.72
  6. Step 6: Final answer
    x = 429.07

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