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Finding the Fourth Proportional to 646.10, 891.62 and 351.37

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Solution

The fourth proportional to 646.10, 891.62 and 351.37 is: 484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 891.62 = 351.37 : x
  2. Step 2: Convert to fraction form
    646.10/891.62 = 351.37/x
  3. Step 3: Cross multiply
    646.10x = 891.62 × 351.37
  4. Step 4: Simplify right side
    646.10x = 313,288.52
  5. Step 5: Solve for x
    x = 313,288.52/646.10
  6. Step 6: Final answer
    x = 484.89

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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.