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Finding the Fourth Proportional to 646.35, 891.72 and 397.47

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Solution

The fourth proportional to 646.35, 891.72 and 397.47 is: 548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.35 : 891.72 = 397.47 : x
  2. Step 2: Convert to fraction form
    646.35/891.72 = 397.47/x
  3. Step 3: Cross multiply
    646.35x = 891.72 × 397.47
  4. Step 4: Simplify right side
    646.35x = 354,431.95
  5. Step 5: Solve for x
    x = 354,431.95/646.35
  6. Step 6: Final answer
    x = 548.36

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Why These Related Problems?

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