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Finding the Fourth Proportional to 921.92, 1,382.86 and 228.59

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Solution

The fourth proportional to 921.92, 1,382.86 and 228.59 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.92 : 1,382.86 = 228.59 : x
  2. Step 2: Convert to fraction form
    921.92/1,382.86 = 228.59/x
  3. Step 3: Cross multiply
    921.92x = 1,382.86 × 228.59
  4. Step 4: Simplify right side
    921.92x = 316,108.82
  5. Step 5: Solve for x
    x = 316,108.82/921.92
  6. Step 6: Final answer
    x = 342.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.