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Finding the Fourth Proportional to 468.87, 646.83 and 272.27

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Solution

The fourth proportional to 468.87, 646.83 and 272.27 is: 375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.87 : 646.83 = 272.27 : x
  2. Step 2: Convert to fraction form
    468.87/646.83 = 272.27/x
  3. Step 3: Cross multiply
    468.87x = 646.83 × 272.27
  4. Step 4: Simplify right side
    468.87x = 176,109.17
  5. Step 5: Solve for x
    x = 176,109.17/468.87
  6. Step 6: Final answer
    x = 375.60

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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.