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Finding the Fourth Proportional to 645.63, 967.72 and 423.69

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Solution

The fourth proportional to 645.63, 967.72 and 423.69 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 967.72 = 423.69 : x
  2. Step 2: Convert to fraction form
    645.63/967.72 = 423.69/x
  3. Step 3: Cross multiply
    645.63x = 967.72 × 423.69
  4. Step 4: Simplify right side
    645.63x = 410,013.29
  5. Step 5: Solve for x
    x = 410,013.29/645.63
  6. Step 6: Final answer
    x = 635.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.