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Finding the Fourth Proportional to 428.90, 643.35 and 104.27

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Solution

The fourth proportional to 428.90, 643.35 and 104.27 is: 156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 643.35 = 104.27 : x
  2. Step 2: Convert to fraction form
    428.90/643.35 = 104.27/x
  3. Step 3: Cross multiply
    428.90x = 643.35 × 104.27
  4. Step 4: Simplify right side
    428.90x = 67,082.10
  5. Step 5: Solve for x
    x = 67,082.10/428.90
  6. Step 6: Final answer
    x = 156.41

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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.