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Finding the Fourth Proportional to 500.82, 690.69 and 334.90

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Solution

The fourth proportional to 500.82, 690.69 and 334.90 is: 461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.82 : 690.69 = 334.90 : x
  2. Step 2: Convert to fraction form
    500.82/690.69 = 334.90/x
  3. Step 3: Cross multiply
    500.82x = 690.69 × 334.90
  4. Step 4: Simplify right side
    500.82x = 231,312.08
  5. Step 5: Solve for x
    x = 231,312.08/500.82
  6. Step 6: Final answer
    x = 461.87

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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.