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Finding the Fourth Proportional to 631.47, 947.27 and 198.59

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Solution

The fourth proportional to 631.47, 947.27 and 198.59 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.47 : 947.27 = 198.59 : x
  2. Step 2: Convert to fraction form
    631.47/947.27 = 198.59/x
  3. Step 3: Cross multiply
    631.47x = 947.27 × 198.59
  4. Step 4: Simplify right side
    631.47x = 188,121.21
  5. Step 5: Solve for x
    x = 188,121.21/631.47
  6. Step 6: Final answer
    x = 297.91

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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.