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Finding the Fourth Proportional to 867.85, 1,302.10 and 405.78

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Solution

The fourth proportional to 867.85, 1,302.10 and 405.78 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.85 : 1,302.10 = 405.78 : x
  2. Step 2: Convert to fraction form
    867.85/1,302.10 = 405.78/x
  3. Step 3: Cross multiply
    867.85x = 1,302.10 × 405.78
  4. Step 4: Simplify right side
    867.85x = 528,365.12
  5. Step 5: Solve for x
    x = 528,365.12/867.85
  6. Step 6: Final answer
    x = 608.82

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