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Finding the Fourth Proportional to 304.72, 457.17 and 197.08

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Solution

The fourth proportional to 304.72, 457.17 and 197.08 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.72 : 457.17 = 197.08 : x
  2. Step 2: Convert to fraction form
    304.72/457.17 = 197.08/x
  3. Step 3: Cross multiply
    304.72x = 457.17 × 197.08
  4. Step 4: Simplify right side
    304.72x = 90,099.06
  5. Step 5: Solve for x
    x = 90,099.06/304.72
  6. Step 6: Final answer
    x = 295.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.