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Finding the Fourth Proportional to 624.88, 937.42 and 234.83

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Solution

The fourth proportional to 624.88, 937.42 and 234.83 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.88 : 937.42 = 234.83 : x
  2. Step 2: Convert to fraction form
    624.88/937.42 = 234.83/x
  3. Step 3: Cross multiply
    624.88x = 937.42 × 234.83
  4. Step 4: Simplify right side
    624.88x = 220,133.46
  5. Step 5: Solve for x
    x = 220,133.46/624.88
  6. Step 6: Final answer
    x = 352.28

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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.