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Finding the Fourth Proportional to 503.84, 755.76 and 229.97

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Solution

The fourth proportional to 503.84, 755.76 and 229.97 is: 344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.84 : 755.76 = 229.97 : x
  2. Step 2: Convert to fraction form
    503.84/755.76 = 229.97/x
  3. Step 3: Cross multiply
    503.84x = 755.76 × 229.97
  4. Step 4: Simplify right side
    503.84x = 173,802.13
  5. Step 5: Solve for x
    x = 173,802.13/503.84
  6. Step 6: Final answer
    x = 344.96

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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.