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Finding the Fourth Proportional to 428.96, 643.56 and 140.42

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Solution

The fourth proportional to 428.96, 643.56 and 140.42 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 643.56 = 140.42 : x
  2. Step 2: Convert to fraction form
    428.96/643.56 = 140.42/x
  3. Step 3: Cross multiply
    428.96x = 643.56 × 140.42
  4. Step 4: Simplify right side
    428.96x = 90,368.70
  5. Step 5: Solve for x
    x = 90,368.70/428.96
  6. Step 6: Final answer
    x = 210.67

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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.