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Finding the Fourth Proportional to 503.32, 755.20 and 229.36

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Solution

The fourth proportional to 503.32, 755.20 and 229.36 is: 344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.32 : 755.20 = 229.36 : x
  2. Step 2: Convert to fraction form
    503.32/755.20 = 229.36/x
  3. Step 3: Cross multiply
    503.32x = 755.20 × 229.36
  4. Step 4: Simplify right side
    503.32x = 173,212.67
  5. Step 5: Solve for x
    x = 173,212.67/503.32
  6. Step 6: Final answer
    x = 344.14

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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.