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Finding the Fourth Proportional to 401.90, 553.84 and 285.26

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Solution

The fourth proportional to 401.90, 553.84 and 285.26 is: 393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 553.84 = 285.26 : x
  2. Step 2: Convert to fraction form
    401.90/553.84 = 285.26/x
  3. Step 3: Cross multiply
    401.90x = 553.84 × 285.26
  4. Step 4: Simplify right side
    401.90x = 157,984.92
  5. Step 5: Solve for x
    x = 157,984.92/401.90
  6. Step 6: Final answer
    x = 393.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.