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Finding the Fourth Proportional to 631.25, 946.69 and 266.03

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Solution

The fourth proportional to 631.25, 946.69 and 266.03 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.25 : 946.69 = 266.03 : x
  2. Step 2: Convert to fraction form
    631.25/946.69 = 266.03/x
  3. Step 3: Cross multiply
    631.25x = 946.69 × 266.03
  4. Step 4: Simplify right side
    631.25x = 251,847.94
  5. Step 5: Solve for x
    x = 251,847.94/631.25
  6. Step 6: Final answer
    x = 398.97

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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.