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Finding the Fourth Proportional to 460.52, 690.90 and 229.53

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Solution

The fourth proportional to 460.52, 690.90 and 229.53 is: 344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 690.90 = 229.53 : x
  2. Step 2: Convert to fraction form
    460.52/690.90 = 229.53/x
  3. Step 3: Cross multiply
    460.52x = 690.90 × 229.53
  4. Step 4: Simplify right side
    460.52x = 158,584.01
  5. Step 5: Solve for x
    x = 158,584.01/460.52
  6. Step 6: Final answer
    x = 344.36

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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.