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Finding the Fourth Proportional to 624.77, 937.31 and 259.73

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Solution

The fourth proportional to 624.77, 937.31 and 259.73 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.77 : 937.31 = 259.73 : x
  2. Step 2: Convert to fraction form
    624.77/937.31 = 259.73/x
  3. Step 3: Cross multiply
    624.77x = 937.31 × 259.73
  4. Step 4: Simplify right side
    624.77x = 243,447.53
  5. Step 5: Solve for x
    x = 243,447.53/624.77
  6. Step 6: Final answer
    x = 389.66

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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.