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Finding the Fourth Proportional to 468.52, 646.53 and 272.02

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Solution

The fourth proportional to 468.52, 646.53 and 272.02 is: 375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 646.53 = 272.02 : x
  2. Step 2: Convert to fraction form
    468.52/646.53 = 272.02/x
  3. Step 3: Cross multiply
    468.52x = 646.53 × 272.02
  4. Step 4: Simplify right side
    468.52x = 175,869.09
  5. Step 5: Solve for x
    x = 175,869.09/468.52
  6. Step 6: Final answer
    x = 375.37

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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.