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Finding the Fourth Proportional to 460.88, 690.70 and 229.43

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Solution

The fourth proportional to 460.88, 690.70 and 229.43 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 690.70 = 229.43 : x
  2. Step 2: Convert to fraction form
    460.88/690.70 = 229.43/x
  3. Step 3: Cross multiply
    460.88x = 690.70 × 229.43
  4. Step 4: Simplify right side
    460.88x = 158,467.30
  5. Step 5: Solve for x
    x = 158,467.30/460.88
  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.