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Finding the Fourth Proportional to 306.96, 459.36 and 286.62

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Solution

The fourth proportional to 306.96, 459.36 and 286.62 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 459.36 = 286.62 : x
  2. Step 2: Convert to fraction form
    306.96/459.36 = 286.62/x
  3. Step 3: Cross multiply
    306.96x = 459.36 × 286.62
  4. Step 4: Simplify right side
    306.96x = 131,661.76
  5. Step 5: Solve for x
    x = 131,661.76/306.96
  6. Step 6: Final answer
    x = 428.92

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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.