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Finding the Fourth Proportional to 306.77, 460.08 and 90.29

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Solution

The fourth proportional to 306.77, 460.08 and 90.29 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.77 : 460.08 = 90.29 : x
  2. Step 2: Convert to fraction form
    306.77/460.08 = 90.29/x
  3. Step 3: Cross multiply
    306.77x = 460.08 × 90.29
  4. Step 4: Simplify right side
    306.77x = 41,541.77
  5. Step 5: Solve for x
    x = 41,541.77/306.77
  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.