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Finding the Fourth Proportional to 645.84, 967.97 and 473.24

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Solution

The fourth proportional to 645.84, 967.97 and 473.24 is: 709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 967.97 = 473.24 : x
  2. Step 2: Convert to fraction form
    645.84/967.97 = 473.24/x
  3. Step 3: Cross multiply
    645.84x = 967.97 × 473.24
  4. Step 4: Simplify right side
    645.84x = 458,085.73
  5. Step 5: Solve for x
    x = 458,085.73/645.84
  6. Step 6: Final answer
    x = 709.29

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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.