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Finding the Fourth Proportional to 468.26, 646.20 and 266.36

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Solution

The fourth proportional to 468.26, 646.20 and 266.36 is: 367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 646.20 = 266.36 : x
  2. Step 2: Convert to fraction form
    468.26/646.20 = 266.36/x
  3. Step 3: Cross multiply
    468.26x = 646.20 × 266.36
  4. Step 4: Simplify right side
    468.26x = 172,121.83
  5. Step 5: Solve for x
    x = 172,121.83/468.26
  6. Step 6: Final answer
    x = 367.58

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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.