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Finding the Fourth Proportional to 624.45, 936.96 and 259.32

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Solution

The fourth proportional to 624.45, 936.96 and 259.32 is: 389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 936.96 = 259.32 : x
  2. Step 2: Convert to fraction form
    624.45/936.96 = 259.32/x
  3. Step 3: Cross multiply
    624.45x = 936.96 × 259.32
  4. Step 4: Simplify right side
    624.45x = 242,972.47
  5. Step 5: Solve for x
    x = 242,972.47/624.45
  6. Step 6: Final answer
    x = 389.10

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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.