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Finding the Fourth Proportional to 401.30, 553.24 and 342.04

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Solution

The fourth proportional to 401.30, 553.24 and 342.04 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.30 : 553.24 = 342.04 : x
  2. Step 2: Convert to fraction form
    401.30/553.24 = 342.04/x
  3. Step 3: Cross multiply
    401.30x = 553.24 × 342.04
  4. Step 4: Simplify right side
    401.30x = 189,230.21
  5. Step 5: Solve for x
    x = 189,230.21/401.30
  6. Step 6: Final answer
    x = 471.54

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Why These Related Problems?

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