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Finding the Fourth Proportional to 500.34, 690.76 and 303.90

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Solution

The fourth proportional to 500.34, 690.76 and 303.90 is: 419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 690.76 = 303.90 : x
  2. Step 2: Convert to fraction form
    500.34/690.76 = 303.90/x
  3. Step 3: Cross multiply
    500.34x = 690.76 × 303.90
  4. Step 4: Simplify right side
    500.34x = 209,921.96
  5. Step 5: Solve for x
    x = 209,921.96/500.34
  6. Step 6: Final answer
    x = 419.56

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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.