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Finding the Fourth Proportional to 485.19, 727.54 and 224.96

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Solution

The fourth proportional to 485.19, 727.54 and 224.96 is: 337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.19 : 727.54 = 224.96 : x
  2. Step 2: Convert to fraction form
    485.19/727.54 = 224.96/x
  3. Step 3: Cross multiply
    485.19x = 727.54 × 224.96
  4. Step 4: Simplify right side
    485.19x = 163,668.09
  5. Step 5: Solve for x
    x = 163,668.09/485.19
  6. Step 6: Final answer
    x = 337.33

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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.