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Finding the Fourth Proportional to 328.64, 453.54 and 197.64

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Solution

The fourth proportional to 328.64, 453.54 and 197.64 is: 272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 453.54 = 197.64 : x
  2. Step 2: Convert to fraction form
    328.64/453.54 = 197.64/x
  3. Step 3: Cross multiply
    328.64x = 453.54 × 197.64
  4. Step 4: Simplify right side
    328.64x = 89,637.65
  5. Step 5: Solve for x
    x = 89,637.65/328.64
  6. Step 6: Final answer
    x = 272.76

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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.