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Finding the Fourth Proportional to 646.11, 968.71 and 207.23

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Solution

The fourth proportional to 646.11, 968.71 and 207.23 is: 310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 968.71 = 207.23 : x
  2. Step 2: Convert to fraction form
    646.11/968.71 = 207.23/x
  3. Step 3: Cross multiply
    646.11x = 968.71 × 207.23
  4. Step 4: Simplify right side
    646.11x = 200,740.80
  5. Step 5: Solve for x
    x = 200,740.80/646.11
  6. Step 6: Final answer
    x = 310.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.