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Finding the Fourth Proportional to 624.90, 936.64 and 259.24

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Solution

The fourth proportional to 624.90, 936.64 and 259.24 is: 388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 936.64 = 259.24 : x
  2. Step 2: Convert to fraction form
    624.90/936.64 = 259.24/x
  3. Step 3: Cross multiply
    624.90x = 936.64 × 259.24
  4. Step 4: Simplify right side
    624.90x = 242,814.55
  5. Step 5: Solve for x
    x = 242,814.55/624.90
  6. Step 6: Final answer
    x = 388.57

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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.