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Finding the Fourth Proportional to 500.25, 689.71 and 389.49

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Solution

The fourth proportional to 500.25, 689.71 and 389.49 is: 537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 689.71 = 389.49 : x
  2. Step 2: Convert to fraction form
    500.25/689.71 = 389.49/x
  3. Step 3: Cross multiply
    500.25x = 689.71 × 389.49
  4. Step 4: Simplify right side
    500.25x = 268,635.15
  5. Step 5: Solve for x
    x = 268,635.15/500.25
  6. Step 6: Final answer
    x = 537.00

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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.