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Finding the Fourth Proportional to 646.23, 968.95 and 229.55

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Solution

The fourth proportional to 646.23, 968.95 and 229.55 is: 344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.23 : 968.95 = 229.55 : x
  2. Step 2: Convert to fraction form
    646.23/968.95 = 229.55/x
  3. Step 3: Cross multiply
    646.23x = 968.95 × 229.55
  4. Step 4: Simplify right side
    646.23x = 222,424.89
  5. Step 5: Solve for x
    x = 222,424.89/646.23
  6. Step 6: Final answer
    x = 344.19

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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.