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Finding the Fourth Proportional to 355.64, 490.78 and 224.72

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Solution

The fourth proportional to 355.64, 490.78 and 224.72 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.64 : 490.78 = 224.72 : x
  2. Step 2: Convert to fraction form
    355.64/490.78 = 224.72/x
  3. Step 3: Cross multiply
    355.64x = 490.78 × 224.72
  4. Step 4: Simplify right side
    355.64x = 110,288.08
  5. Step 5: Solve for x
    x = 110,288.08/355.64
  6. Step 6: Final answer
    x = 310.11

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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.