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Finding the Fourth Proportional to 665.25, 998.28 and 624.75

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Solution

The fourth proportional to 665.25, 998.28 and 624.75 is: 937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.25 : 998.28 = 624.75 : x
  2. Step 2: Convert to fraction form
    665.25/998.28 = 624.75/x
  3. Step 3: Cross multiply
    665.25x = 998.28 × 624.75
  4. Step 4: Simplify right side
    665.25x = 623,672.31
  5. Step 5: Solve for x
    x = 623,672.31/665.25
  6. Step 6: Final answer
    x = 937.50

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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.