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Finding the Fourth Proportional to 428.82, 643.36 and 154.94

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Solution

The fourth proportional to 428.82, 643.36 and 154.94 is: 232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.82 : 643.36 = 154.94 : x
  2. Step 2: Convert to fraction form
    428.82/643.36 = 154.94/x
  3. Step 3: Cross multiply
    428.82x = 643.36 × 154.94
  4. Step 4: Simplify right side
    428.82x = 99,682.20
  5. Step 5: Solve for x
    x = 99,682.20/428.82
  6. Step 6: Final answer
    x = 232.46

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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.