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Finding the Fourth Proportional to 306.47, 459.28 and 196.62

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Solution

The fourth proportional to 306.47, 459.28 and 196.62 is: 294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.47 : 459.28 = 196.62 : x
  2. Step 2: Convert to fraction form
    306.47/459.28 = 196.62/x
  3. Step 3: Cross multiply
    306.47x = 459.28 × 196.62
  4. Step 4: Simplify right side
    306.47x = 90,302.16
  5. Step 5: Solve for x
    x = 90,302.16/306.47
  6. Step 6: Final answer
    x = 294.65

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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.