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Finding the Fourth Proportional to 500.52, 690.78 and 303.98

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Solution

The fourth proportional to 500.52, 690.78 and 303.98 is: 419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 690.78 = 303.98 : x
  2. Step 2: Convert to fraction form
    500.52/690.78 = 303.98/x
  3. Step 3: Cross multiply
    500.52x = 690.78 × 303.98
  4. Step 4: Simplify right side
    500.52x = 209,983.30
  5. Step 5: Solve for x
    x = 209,983.30/500.52
  6. Step 6: Final answer
    x = 419.53

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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.