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Finding the Fourth Proportional to 428.96, 643.72 and 185.70

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Solution

The fourth proportional to 428.96, 643.72 and 185.70 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 643.72 = 185.70 : x
  2. Step 2: Convert to fraction form
    428.96/643.72 = 185.70/x
  3. Step 3: Cross multiply
    428.96x = 643.72 × 185.70
  4. Step 4: Simplify right side
    428.96x = 119,538.80
  5. Step 5: Solve for x
    x = 119,538.80/428.96
  6. Step 6: Final answer
    x = 278.67

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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.