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Finding the Fourth Proportional to 646.01, 891.37 and 397.25

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Solution

The fourth proportional to 646.01, 891.37 and 397.25 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.01 : 891.37 = 397.25 : x
  2. Step 2: Convert to fraction form
    646.01/891.37 = 397.25/x
  3. Step 3: Cross multiply
    646.01x = 891.37 × 397.25
  4. Step 4: Simplify right side
    646.01x = 354,096.73
  5. Step 5: Solve for x
    x = 354,096.73/646.01
  6. Step 6: Final answer
    x = 548.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.