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Finding the Fourth Proportional to 342.24, 472.01 and 289.92

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Solution

The fourth proportional to 342.24, 472.01 and 289.92 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 472.01 = 289.92 : x
  2. Step 2: Convert to fraction form
    342.24/472.01 = 289.92/x
  3. Step 3: Cross multiply
    342.24x = 472.01 × 289.92
  4. Step 4: Simplify right side
    342.24x = 136,845.14
  5. Step 5: Solve for x
    x = 136,845.14/342.24
  6. Step 6: Final answer
    x = 399.85

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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.