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Finding the Fourth Proportional to 468.53, 646.56 and 272.03

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Solution

The fourth proportional to 468.53, 646.56 and 272.03 is: 375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 646.56 = 272.03 : x
  2. Step 2: Convert to fraction form
    468.53/646.56 = 272.03/x
  3. Step 3: Cross multiply
    468.53x = 646.56 × 272.03
  4. Step 4: Simplify right side
    468.53x = 175,883.72
  5. Step 5: Solve for x
    x = 175,883.72/468.53
  6. Step 6: Final answer
    x = 375.39

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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.