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Finding the Fourth Proportional to 641.51, 962.27 and 179.28

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Solution

The fourth proportional to 641.51, 962.27 and 179.28 is: 268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.51 : 962.27 = 179.28 : x
  2. Step 2: Convert to fraction form
    641.51/962.27 = 179.28/x
  3. Step 3: Cross multiply
    641.51x = 962.27 × 179.28
  4. Step 4: Simplify right side
    641.51x = 172,515.77
  5. Step 5: Solve for x
    x = 172,515.77/641.51
  6. Step 6: Final answer
    x = 268.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.