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Finding the Fourth Proportional to 646.15, 891.69 and 351.42

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Solution

The fourth proportional to 646.15, 891.69 and 351.42 is: 484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.15 : 891.69 = 351.42 : x
  2. Step 2: Convert to fraction form
    646.15/891.69 = 351.42/x
  3. Step 3: Cross multiply
    646.15x = 891.69 × 351.42
  4. Step 4: Simplify right side
    646.15x = 313,359.02
  5. Step 5: Solve for x
    x = 313,359.02/646.15
  6. Step 6: Final answer
    x = 484.96

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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.