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Finding the Fourth Proportional to 500.25, 690.36 and 303.93

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Solution

The fourth proportional to 500.25, 690.36 and 303.93 is: 419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 690.36 = 303.93 : x
  2. Step 2: Convert to fraction form
    500.25/690.36 = 303.93/x
  3. Step 3: Cross multiply
    500.25x = 690.36 × 303.93
  4. Step 4: Simplify right side
    500.25x = 209,821.11
  5. Step 5: Solve for x
    x = 209,821.11/500.25
  6. Step 6: Final answer
    x = 419.43

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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.