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Finding the Fourth Proportional to 631.89, 947.38 and 285.31

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Solution

The fourth proportional to 631.89, 947.38 and 285.31 is: 427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.89 : 947.38 = 285.31 : x
  2. Step 2: Convert to fraction form
    631.89/947.38 = 285.31/x
  3. Step 3: Cross multiply
    631.89x = 947.38 × 285.31
  4. Step 4: Simplify right side
    631.89x = 270,296.99
  5. Step 5: Solve for x
    x = 270,296.99/631.89
  6. Step 6: Final answer
    x = 427.76

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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.