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Finding the Fourth Proportional to 522.48, 720.99 and 289.61

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Solution

The fourth proportional to 522.48, 720.99 and 289.61 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 720.99 = 289.61 : x
  2. Step 2: Convert to fraction form
    522.48/720.99 = 289.61/x
  3. Step 3: Cross multiply
    522.48x = 720.99 × 289.61
  4. Step 4: Simplify right side
    522.48x = 208,802.31
  5. Step 5: Solve for x
    x = 208,802.31/522.48
  6. Step 6: Final answer
    x = 399.64

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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.