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Finding the Fourth Proportional to 312.05, 430.02 and 224.57

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Solution

The fourth proportional to 312.05, 430.02 and 224.57 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.05 : 430.02 = 224.57 : x
  2. Step 2: Convert to fraction form
    312.05/430.02 = 224.57/x
  3. Step 3: Cross multiply
    312.05x = 430.02 × 224.57
  4. Step 4: Simplify right side
    312.05x = 96,567.44
  5. Step 5: Solve for x
    x = 96,567.44/312.05
  6. Step 6: Final answer
    x = 309.47

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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.