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Finding the Fourth Proportional to 503.16, 754.98 and 214.50

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Solution

The fourth proportional to 503.16, 754.98 and 214.50 is: 321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 754.98 = 214.50 : x
  2. Step 2: Convert to fraction form
    503.16/754.98 = 214.50/x
  3. Step 3: Cross multiply
    503.16x = 754.98 × 214.50
  4. Step 4: Simplify right side
    503.16x = 161,943.21
  5. Step 5: Solve for x
    x = 161,943.21/503.16
  6. Step 6: Final answer
    x = 321.85

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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.