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Finding the Fourth Proportional to 460.26, 690.33 and 229.29

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Solution

The fourth proportional to 460.26, 690.33 and 229.29 is: 343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 690.33 = 229.29 : x
  2. Step 2: Convert to fraction form
    460.26/690.33 = 229.29/x
  3. Step 3: Cross multiply
    460.26x = 690.33 × 229.29
  4. Step 4: Simplify right side
    460.26x = 158,287.76
  5. Step 5: Solve for x
    x = 158,287.76/460.26
  6. Step 6: Final answer
    x = 343.91

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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.