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Finding the Fourth Proportional to 486.83, 726.69 and 428.44

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Solution

The fourth proportional to 486.83, 726.69 and 428.44 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.83 : 726.69 = 428.44 : x
  2. Step 2: Convert to fraction form
    486.83/726.69 = 428.44/x
  3. Step 3: Cross multiply
    486.83x = 726.69 × 428.44
  4. Step 4: Simplify right side
    486.83x = 311,341.81
  5. Step 5: Solve for x
    x = 311,341.81/486.83
  6. Step 6: Final answer
    x = 639.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.