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Finding the Fourth Proportional to 624.45, 936.42 and 259.20

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Solution

The fourth proportional to 624.45, 936.42 and 259.20 is: 388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 936.42 = 259.20 : x
  2. Step 2: Convert to fraction form
    624.45/936.42 = 259.20/x
  3. Step 3: Cross multiply
    624.45x = 936.42 × 259.20
  4. Step 4: Simplify right side
    624.45x = 242,720.06
  5. Step 5: Solve for x
    x = 242,720.06/624.45
  6. Step 6: Final answer
    x = 388.69

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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.