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Finding the Fourth Proportional to 290.16, 435.96 and 285.84

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Solution

The fourth proportional to 290.16, 435.96 and 285.84 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.16 : 435.96 = 285.84 : x
  2. Step 2: Convert to fraction form
    290.16/435.96 = 285.84/x
  3. Step 3: Cross multiply
    290.16x = 435.96 × 285.84
  4. Step 4: Simplify right side
    290.16x = 124,614.81
  5. Step 5: Solve for x
    x = 124,614.81/290.16
  6. Step 6: Final answer
    x = 429.47

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