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Finding the Fourth Proportional to 305.84, 458.64 and 197.44

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Solution

The fourth proportional to 305.84, 458.64 and 197.44 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 458.64 = 197.44 : x
  2. Step 2: Convert to fraction form
    305.84/458.64 = 197.44/x
  3. Step 3: Cross multiply
    305.84x = 458.64 × 197.44
  4. Step 4: Simplify right side
    305.84x = 90,553.88
  5. Step 5: Solve for x
    x = 90,553.88/305.84
  6. Step 6: Final answer
    x = 296.08

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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.