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Finding the Fourth Proportional to 428.97, 643.32 and 359.85

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Solution

The fourth proportional to 428.97, 643.32 and 359.85 is: 539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.97 : 643.32 = 359.85 : x
  2. Step 2: Convert to fraction form
    428.97/643.32 = 359.85/x
  3. Step 3: Cross multiply
    428.97x = 643.32 × 359.85
  4. Step 4: Simplify right side
    428.97x = 231,498.70
  5. Step 5: Solve for x
    x = 231,498.70/428.97
  6. Step 6: Final answer
    x = 539.66

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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.