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Finding the Fourth Proportional to 468.52, 646.51 and 269.34

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Solution

The fourth proportional to 468.52, 646.51 and 269.34 is: 371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 646.51 = 269.34 : x
  2. Step 2: Convert to fraction form
    468.52/646.51 = 269.34/x
  3. Step 3: Cross multiply
    468.52x = 646.51 × 269.34
  4. Step 4: Simplify right side
    468.52x = 174,131.29
  5. Step 5: Solve for x
    x = 174,131.29/468.52
  6. Step 6: Final answer
    x = 371.66

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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.