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Finding the Fourth Proportional to 631.11, 945.82 and 284.37

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Solution

The fourth proportional to 631.11, 945.82 and 284.37 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.11 : 945.82 = 284.37 : x
  2. Step 2: Convert to fraction form
    631.11/945.82 = 284.37/x
  3. Step 3: Cross multiply
    631.11x = 945.82 × 284.37
  4. Step 4: Simplify right side
    631.11x = 268,962.83
  5. Step 5: Solve for x
    x = 268,962.83/631.11
  6. Step 6: Final answer
    x = 426.17

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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.