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Finding the Fourth Proportional to 500.36, 690.84 and 334.76

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Solution

The fourth proportional to 500.36, 690.84 and 334.76 is: 462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.36 : 690.84 = 334.76 : x
  2. Step 2: Convert to fraction form
    500.36/690.84 = 334.76/x
  3. Step 3: Cross multiply
    500.36x = 690.84 × 334.76
  4. Step 4: Simplify right side
    500.36x = 231,265.60
  5. Step 5: Solve for x
    x = 231,265.60/500.36
  6. Step 6: Final answer
    x = 462.20

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