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Finding the Fourth Proportional to 428.69, 643.04 and 154.78

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Solution

The fourth proportional to 428.69, 643.04 and 154.78 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 643.04 = 154.78 : x
  2. Step 2: Convert to fraction form
    428.69/643.04 = 154.78/x
  3. Step 3: Cross multiply
    428.69x = 643.04 × 154.78
  4. Step 4: Simplify right side
    428.69x = 99,527.93
  5. Step 5: Solve for x
    x = 99,527.93/428.69
  6. Step 6: Final answer
    x = 232.17

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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.