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Finding the Fourth Proportional to 631.76, 947.34 and 323.76

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Solution

The fourth proportional to 631.76, 947.34 and 323.76 is: 485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 947.34 = 323.76 : x
  2. Step 2: Convert to fraction form
    631.76/947.34 = 323.76/x
  3. Step 3: Cross multiply
    631.76x = 947.34 × 323.76
  4. Step 4: Simplify right side
    631.76x = 306,710.80
  5. Step 5: Solve for x
    x = 306,710.80/631.76
  6. Step 6: Final answer
    x = 485.49

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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.