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Finding the Fourth Proportional to 312.48, 430.80 and 224.88

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Solution

The fourth proportional to 312.48, 430.80 and 224.88 is: 310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 430.80 = 224.88 : x
  2. Step 2: Convert to fraction form
    312.48/430.80 = 224.88/x
  3. Step 3: Cross multiply
    312.48x = 430.80 × 224.88
  4. Step 4: Simplify right side
    312.48x = 96,878.30
  5. Step 5: Solve for x
    x = 96,878.30/312.48
  6. Step 6: Final answer
    x = 310.03

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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.