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Finding the Fourth Proportional to 631.82, 947.42 and 371.88

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Solution

The fourth proportional to 631.82, 947.42 and 371.88 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 947.42 = 371.88 : x
  2. Step 2: Convert to fraction form
    631.82/947.42 = 371.88/x
  3. Step 3: Cross multiply
    631.82x = 947.42 × 371.88
  4. Step 4: Simplify right side
    631.82x = 352,326.55
  5. Step 5: Solve for x
    x = 352,326.55/631.82
  6. Step 6: Final answer
    x = 557.64

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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.