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Finding the Fourth Proportional to 585.80, 808.25 and 349.74

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Solution

The fourth proportional to 585.80, 808.25 and 349.74 is: 482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.80 : 808.25 = 349.74 : x
  2. Step 2: Convert to fraction form
    585.80/808.25 = 349.74/x
  3. Step 3: Cross multiply
    585.80x = 808.25 × 349.74
  4. Step 4: Simplify right side
    585.80x = 282,677.36
  5. Step 5: Solve for x
    x = 282,677.36/585.80
  6. Step 6: Final answer
    x = 482.55

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