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Finding the Fourth Proportional to 306.67, 460.41 and 283.99

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Solution

The fourth proportional to 306.67, 460.41 and 283.99 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.67 : 460.41 = 283.99 : x
  2. Step 2: Convert to fraction form
    306.67/460.41 = 283.99/x
  3. Step 3: Cross multiply
    306.67x = 460.41 × 283.99
  4. Step 4: Simplify right side
    306.67x = 130,751.84
  5. Step 5: Solve for x
    x = 130,751.84/306.67
  6. Step 6: Final answer
    x = 426.36

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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.