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Finding the Fourth Proportional to 624.11, 936.16 and 259.20

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Solution

The fourth proportional to 624.11, 936.16 and 259.20 is: 388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.11 : 936.16 = 259.20 : x
  2. Step 2: Convert to fraction form
    624.11/936.16 = 259.20/x
  3. Step 3: Cross multiply
    624.11x = 936.16 × 259.20
  4. Step 4: Simplify right side
    624.11x = 242,652.02
  5. Step 5: Solve for x
    x = 242,652.02/624.11
  6. Step 6: Final answer
    x = 388.80

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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.