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Finding the Fourth Proportional to 424.25, 585.71 and 320.57

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Solution

The fourth proportional to 424.25, 585.71 and 320.57 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.25 : 585.71 = 320.57 : x
  2. Step 2: Convert to fraction form
    424.25/585.71 = 320.57/x
  3. Step 3: Cross multiply
    424.25x = 585.71 × 320.57
  4. Step 4: Simplify right side
    424.25x = 187,759.45
  5. Step 5: Solve for x
    x = 187,759.45/424.25
  6. Step 6: Final answer
    x = 442.57

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