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Finding the Fourth Proportional to 503, 754.80 and 214.46

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Solution

The fourth proportional to 503, 754.80 and 214.46 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 754.80 = 214.46 : x
  2. Step 2: Convert to fraction form
    503/754.80 = 214.46/x
  3. Step 3: Cross multiply
    503x = 754.80 × 214.46
  4. Step 4: Simplify right side
    503x = 161,874.41
  5. Step 5: Solve for x
    x = 161,874.41/503
  6. Step 6: Final answer
    x = 321.82

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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.