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Finding the Fourth Proportional to 460.03, 690.45 and 229.09

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Solution

The fourth proportional to 460.03, 690.45 and 229.09 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.03 : 690.45 = 229.09 : x
  2. Step 2: Convert to fraction form
    460.03/690.45 = 229.09/x
  3. Step 3: Cross multiply
    460.03x = 690.45 × 229.09
  4. Step 4: Simplify right side
    460.03x = 158,175.19
  5. Step 5: Solve for x
    x = 158,175.19/460.03
  6. Step 6: Final answer
    x = 343.84

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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.