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Finding the Fourth Proportional to 305.78, 457.79 and 197.24

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Solution

The fourth proportional to 305.78, 457.79 and 197.24 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 457.79 = 197.24 : x
  2. Step 2: Convert to fraction form
    305.78/457.79 = 197.24/x
  3. Step 3: Cross multiply
    305.78x = 457.79 × 197.24
  4. Step 4: Simplify right side
    305.78x = 90,291.22
  5. Step 5: Solve for x
    x = 90,291.22/305.78
  6. Step 6: Final answer
    x = 295.29

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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.