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Finding the Fourth Proportional to 646.36, 968.83 and 317.23

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Solution

The fourth proportional to 646.36, 968.83 and 317.23 is: 475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.36 : 968.83 = 317.23 : x
  2. Step 2: Convert to fraction form
    646.36/968.83 = 317.23/x
  3. Step 3: Cross multiply
    646.36x = 968.83 × 317.23
  4. Step 4: Simplify right side
    646.36x = 307,338.73
  5. Step 5: Solve for x
    x = 307,338.73/646.36
  6. Step 6: Final answer
    x = 475.49

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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.