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Finding the Fourth Proportional to 331.92, 457.08 and 228.24

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Solution

The fourth proportional to 331.92, 457.08 and 228.24 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 457.08 = 228.24 : x
  2. Step 2: Convert to fraction form
    331.92/457.08 = 228.24/x
  3. Step 3: Cross multiply
    331.92x = 457.08 × 228.24
  4. Step 4: Simplify right side
    331.92x = 104,323.94
  5. Step 5: Solve for x
    x = 104,323.94/331.92
  6. Step 6: Final answer
    x = 314.30

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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.