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Finding the Fourth Proportional to 503.20, 754.24 and 214.40

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Solution

The fourth proportional to 503.20, 754.24 and 214.40 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 754.24 = 214.40 : x
  2. Step 2: Convert to fraction form
    503.20/754.24 = 214.40/x
  3. Step 3: Cross multiply
    503.20x = 754.24 × 214.40
  4. Step 4: Simplify right side
    503.20x = 161,709.06
  5. Step 5: Solve for x
    x = 161,709.06/503.20
  6. Step 6: Final answer
    x = 321.36

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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.