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Finding the Fourth Proportional to 645.33, 967.79 and 414.48

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Solution

The fourth proportional to 645.33, 967.79 and 414.48 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.33 : 967.79 = 414.48 : x
  2. Step 2: Convert to fraction form
    645.33/967.79 = 414.48/x
  3. Step 3: Cross multiply
    645.33x = 967.79 × 414.48
  4. Step 4: Simplify right side
    645.33x = 401,127.53
  5. Step 5: Solve for x
    x = 401,127.53/645.33
  6. Step 6: Final answer
    x = 621.59

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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.