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Finding the Fourth Proportional to 500.25, 690.62 and 389.48

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Solution

The fourth proportional to 500.25, 690.62 and 389.48 is: 537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 690.62 = 389.48 : x
  2. Step 2: Convert to fraction form
    500.25/690.62 = 389.48/x
  3. Step 3: Cross multiply
    500.25x = 690.62 × 389.48
  4. Step 4: Simplify right side
    500.25x = 268,977.28
  5. Step 5: Solve for x
    x = 268,977.28/500.25
  6. Step 6: Final answer
    x = 537.69

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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.