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Finding the Fourth Proportional to 624.91, 937.50 and 214.03

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Solution

The fourth proportional to 624.91, 937.50 and 214.03 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.91 : 937.50 = 214.03 : x
  2. Step 2: Convert to fraction form
    624.91/937.50 = 214.03/x
  3. Step 3: Cross multiply
    624.91x = 937.50 × 214.03
  4. Step 4: Simplify right side
    624.91x = 200,653.13
  5. Step 5: Solve for x
    x = 200,653.13/624.91
  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.