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Finding the Fourth Proportional to 631.05, 945.77 and 425.31

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Solution

The fourth proportional to 631.05, 945.77 and 425.31 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.05 : 945.77 = 425.31 : x
  2. Step 2: Convert to fraction form
    631.05/945.77 = 425.31/x
  3. Step 3: Cross multiply
    631.05x = 945.77 × 425.31
  4. Step 4: Simplify right side
    631.05x = 402,243.31
  5. Step 5: Solve for x
    x = 402,243.31/631.05
  6. Step 6: Final answer
    x = 637.42

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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.