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Finding the Fourth Proportional to 468.36, 646.37 and 269.24

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Solution

The fourth proportional to 468.36, 646.37 and 269.24 is: 371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 646.37 = 269.24 : x
  2. Step 2: Convert to fraction form
    468.36/646.37 = 269.24/x
  3. Step 3: Cross multiply
    468.36x = 646.37 × 269.24
  4. Step 4: Simplify right side
    468.36x = 174,024.08
  5. Step 5: Solve for x
    x = 174,024.08/468.36
  6. Step 6: Final answer
    x = 371.56

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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.