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Finding the Fourth Proportional to 636.47, 954.62 and 174.28

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Solution

The fourth proportional to 636.47, 954.62 and 174.28 is: 261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.47 : 954.62 = 174.28 : x
  2. Step 2: Convert to fraction form
    636.47/954.62 = 174.28/x
  3. Step 3: Cross multiply
    636.47x = 954.62 × 174.28
  4. Step 4: Simplify right side
    636.47x = 166,371.17
  5. Step 5: Solve for x
    x = 166,371.17/636.47
  6. Step 6: Final answer
    x = 261.40

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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.