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Finding the Fourth Proportional to 428.85, 642.92 and 154.85

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Solution

The fourth proportional to 428.85, 642.92 and 154.85 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.85 : 642.92 = 154.85 : x
  2. Step 2: Convert to fraction form
    428.85/642.92 = 154.85/x
  3. Step 3: Cross multiply
    428.85x = 642.92 × 154.85
  4. Step 4: Simplify right side
    428.85x = 99,552.17
  5. Step 5: Solve for x
    x = 99,552.17/428.85
  6. Step 6: Final answer
    x = 232.14

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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.