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Finding the Fourth Proportional to 500.21, 690.39 and 303.68

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Solution

The fourth proportional to 500.21, 690.39 and 303.68 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.21 : 690.39 = 303.68 : x
  2. Step 2: Convert to fraction form
    500.21/690.39 = 303.68/x
  3. Step 3: Cross multiply
    500.21x = 690.39 × 303.68
  4. Step 4: Simplify right side
    500.21x = 209,654.18
  5. Step 5: Solve for x
    x = 209,654.18/500.21
  6. Step 6: Final answer
    x = 419.14

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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.