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Finding the Fourth Proportional to 328.53, 453.24 and 197.58

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Solution

The fourth proportional to 328.53, 453.24 and 197.58 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.53 : 453.24 = 197.58 : x
  2. Step 2: Convert to fraction form
    328.53/453.24 = 197.58/x
  3. Step 3: Cross multiply
    328.53x = 453.24 × 197.58
  4. Step 4: Simplify right side
    328.53x = 89,551.16
  5. Step 5: Solve for x
    x = 89,551.16/328.53
  6. Step 6: Final answer
    x = 272.58

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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.