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Finding the Fourth Proportional to 428.99, 643.31 and 165.29

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Solution

The fourth proportional to 428.99, 643.31 and 165.29 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 643.31 = 165.29 : x
  2. Step 2: Convert to fraction form
    428.99/643.31 = 165.29/x
  3. Step 3: Cross multiply
    428.99x = 643.31 × 165.29
  4. Step 4: Simplify right side
    428.99x = 106,328.67
  5. Step 5: Solve for x
    x = 106,328.67/428.99
  6. Step 6: Final answer
    x = 247.86

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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.