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Finding the Fourth Proportional to 306.70, 460.04 and 90.28

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Solution

The fourth proportional to 306.70, 460.04 and 90.28 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.70 : 460.04 = 90.28 : x
  2. Step 2: Convert to fraction form
    306.70/460.04 = 90.28/x
  3. Step 3: Cross multiply
    306.70x = 460.04 × 90.28
  4. Step 4: Simplify right side
    306.70x = 41,532.41
  5. Step 5: Solve for x
    x = 41,532.41/306.70
  6. Step 6: Final answer
    x = 135.42

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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.