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Finding the Fourth Proportional to 502.96, 754.60 and 210.61

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Solution

The fourth proportional to 502.96, 754.60 and 210.61 is: 315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 754.60 = 210.61 : x
  2. Step 2: Convert to fraction form
    502.96/754.60 = 210.61/x
  3. Step 3: Cross multiply
    502.96x = 754.60 × 210.61
  4. Step 4: Simplify right side
    502.96x = 158,926.31
  5. Step 5: Solve for x
    x = 158,926.31/502.96
  6. Step 6: Final answer
    x = 315.98

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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.