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Finding the Fourth Proportional to 428.83, 642.91 and 168.90

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Solution

The fourth proportional to 428.83, 642.91 and 168.90 is: 253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.83 : 642.91 = 168.90 : x
  2. Step 2: Convert to fraction form
    428.83/642.91 = 168.90/x
  3. Step 3: Cross multiply
    428.83x = 642.91 × 168.90
  4. Step 4: Simplify right side
    428.83x = 108,587.50
  5. Step 5: Solve for x
    x = 108,587.50/428.83
  6. Step 6: Final answer
    x = 253.22

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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.