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Finding the Fourth Proportional to 460.25, 690.42 and 229.19

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Solution

The fourth proportional to 460.25, 690.42 and 229.19 is: 343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 690.42 = 229.19 : x
  2. Step 2: Convert to fraction form
    460.25/690.42 = 229.19/x
  3. Step 3: Cross multiply
    460.25x = 690.42 × 229.19
  4. Step 4: Simplify right side
    460.25x = 158,239.95
  5. Step 5: Solve for x
    x = 158,239.95/460.25
  6. Step 6: Final answer
    x = 343.82

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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.