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Finding the Fourth Proportional to 522.66, 721.29 and 289.79

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Solution

The fourth proportional to 522.66, 721.29 and 289.79 is: 399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 721.29 = 289.79 : x
  2. Step 2: Convert to fraction form
    522.66/721.29 = 289.79/x
  3. Step 3: Cross multiply
    522.66x = 721.29 × 289.79
  4. Step 4: Simplify right side
    522.66x = 209,022.63
  5. Step 5: Solve for x
    x = 209,022.63/522.66
  6. Step 6: Final answer
    x = 399.92

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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.