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Finding the Fourth Proportional to 502.80, 753.78 and 214.05

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Solution

The fourth proportional to 502.80, 753.78 and 214.05 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 753.78 = 214.05 : x
  2. Step 2: Convert to fraction form
    502.80/753.78 = 214.05/x
  3. Step 3: Cross multiply
    502.80x = 753.78 × 214.05
  4. Step 4: Simplify right side
    502.80x = 161,346.61
  5. Step 5: Solve for x
    x = 161,346.61/502.80
  6. Step 6: Final answer
    x = 320.90

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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.