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Finding the Fourth Proportional to 500.02, 690.17 and 350.73

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Solution

The fourth proportional to 500.02, 690.17 and 350.73 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 690.17 = 350.73 : x
  2. Step 2: Convert to fraction form
    500.02/690.17 = 350.73/x
  3. Step 3: Cross multiply
    500.02x = 690.17 × 350.73
  4. Step 4: Simplify right side
    500.02x = 242,063.32
  5. Step 5: Solve for x
    x = 242,063.32/500.02
  6. Step 6: Final answer
    x = 484.11

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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.