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Finding the Fourth Proportional to 646.17, 891.59 and 397.53

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Solution

The fourth proportional to 646.17, 891.59 and 397.53 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 891.59 = 397.53 : x
  2. Step 2: Convert to fraction form
    646.17/891.59 = 397.53/x
  3. Step 3: Cross multiply
    646.17x = 891.59 × 397.53
  4. Step 4: Simplify right side
    646.17x = 354,431.79
  5. Step 5: Solve for x
    x = 354,431.79/646.17
  6. Step 6: Final answer
    x = 548.51

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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.