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Finding the Fourth Proportional to 503.40, 754.50 and 214.23

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Solution

The fourth proportional to 503.40, 754.50 and 214.23 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 754.50 = 214.23 : x
  2. Step 2: Convert to fraction form
    503.40/754.50 = 214.23/x
  3. Step 3: Cross multiply
    503.40x = 754.50 × 214.23
  4. Step 4: Simplify right side
    503.40x = 161,636.54
  5. Step 5: Solve for x
    x = 161,636.54/503.40
  6. Step 6: Final answer
    x = 321.09

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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.