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Finding the Fourth Proportional to 649.34, 972.44 and 405.56

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Solution

The fourth proportional to 649.34, 972.44 and 405.56 is: 607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 972.44 = 405.56 : x
  2. Step 2: Convert to fraction form
    649.34/972.44 = 405.56/x
  3. Step 3: Cross multiply
    649.34x = 972.44 × 405.56
  4. Step 4: Simplify right side
    649.34x = 394,382.77
  5. Step 5: Solve for x
    x = 394,382.77/649.34
  6. Step 6: Final answer
    x = 607.36

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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.