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Finding the Fourth Proportional to 306.90, 460.30 and 255.87

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Solution

The fourth proportional to 306.90, 460.30 and 255.87 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 460.30 = 255.87 : x
  2. Step 2: Convert to fraction form
    306.90/460.30 = 255.87/x
  3. Step 3: Cross multiply
    306.90x = 460.30 × 255.87
  4. Step 4: Simplify right side
    306.90x = 117,776.96
  5. Step 5: Solve for x
    x = 117,776.96/306.90
  6. Step 6: Final answer
    x = 383.76

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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.