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Finding the Fourth Proportional to 428.97, 643.47 and 120.81

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Solution

The fourth proportional to 428.97, 643.47 and 120.81 is: 181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.97 : 643.47 = 120.81 : x
  2. Step 2: Convert to fraction form
    428.97/643.47 = 120.81/x
  3. Step 3: Cross multiply
    428.97x = 643.47 × 120.81
  4. Step 4: Simplify right side
    428.97x = 77,737.61
  5. Step 5: Solve for x
    x = 77,737.61/428.97
  6. Step 6: Final answer
    x = 181.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.