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Finding the Fourth Proportional to 624.72, 936.31 and 259.14

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Solution

The fourth proportional to 624.72, 936.31 and 259.14 is: 388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.72 : 936.31 = 259.14 : x
  2. Step 2: Convert to fraction form
    624.72/936.31 = 259.14/x
  3. Step 3: Cross multiply
    624.72x = 936.31 × 259.14
  4. Step 4: Simplify right side
    624.72x = 242,635.37
  5. Step 5: Solve for x
    x = 242,635.37/624.72
  6. Step 6: Final answer
    x = 388.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.