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Finding the Fourth Proportional to 664.92, 918.01 and 428.99

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Solution

The fourth proportional to 664.92, 918.01 and 428.99 is: 592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.92 : 918.01 = 428.99 : x
  2. Step 2: Convert to fraction form
    664.92/918.01 = 428.99/x
  3. Step 3: Cross multiply
    664.92x = 918.01 × 428.99
  4. Step 4: Simplify right side
    664.92x = 393,817.11
  5. Step 5: Solve for x
    x = 393,817.11/664.92
  6. Step 6: Final answer
    x = 592.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.