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Finding the Fourth Proportional to 306.70, 460.05 and 284.83

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Solution

The fourth proportional to 306.70, 460.05 and 284.83 is: 427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.70 : 460.05 = 284.83 : x
  2. Step 2: Convert to fraction form
    306.70/460.05 = 284.83/x
  3. Step 3: Cross multiply
    306.70x = 460.05 × 284.83
  4. Step 4: Simplify right side
    306.70x = 131,033.82
  5. Step 5: Solve for x
    x = 131,033.82/306.70
  6. Step 6: Final answer
    x = 427.24

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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.