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Finding the Fourth Proportional to 315.72, 474.30 and 224.64

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Solution

The fourth proportional to 315.72, 474.30 and 224.64 is: 337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 474.30 = 224.64 : x
  2. Step 2: Convert to fraction form
    315.72/474.30 = 224.64/x
  3. Step 3: Cross multiply
    315.72x = 474.30 × 224.64
  4. Step 4: Simplify right side
    315.72x = 106,546.75
  5. Step 5: Solve for x
    x = 106,546.75/315.72
  6. Step 6: Final answer
    x = 337.47

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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.