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Finding the Fourth Proportional to 500, 690.12 and 334.22

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Solution

The fourth proportional to 500, 690.12 and 334.22 is: 461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 690.12 = 334.22 : x
  2. Step 2: Convert to fraction form
    500/690.12 = 334.22/x
  3. Step 3: Cross multiply
    500x = 690.12 × 334.22
  4. Step 4: Simplify right side
    500x = 230,651.91
  5. Step 5: Solve for x
    x = 230,651.91/500
  6. Step 6: Final answer
    x = 461.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.