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Finding the Fourth Proportional to 522.28, 720.68 and 289.36

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Solution

The fourth proportional to 522.28, 720.68 and 289.36 is: 399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.28 : 720.68 = 289.36 : x
  2. Step 2: Convert to fraction form
    522.28/720.68 = 289.36/x
  3. Step 3: Cross multiply
    522.28x = 720.68 × 289.36
  4. Step 4: Simplify right side
    522.28x = 208,535.96
  5. Step 5: Solve for x
    x = 208,535.96/522.28
  6. Step 6: Final answer
    x = 399.28

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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.