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Finding the Fourth Proportional to 306.59, 458.46 and 262.85

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Solution

The fourth proportional to 306.59, 458.46 and 262.85 is: 393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.59 : 458.46 = 262.85 : x
  2. Step 2: Convert to fraction form
    306.59/458.46 = 262.85/x
  3. Step 3: Cross multiply
    306.59x = 458.46 × 262.85
  4. Step 4: Simplify right side
    306.59x = 120,503.92
  5. Step 5: Solve for x
    x = 120,503.92/306.59
  6. Step 6: Final answer
    x = 393.05

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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.