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Finding the Fourth Proportional to 522.51, 721.05 and 286.44

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Solution

The fourth proportional to 522.51, 721.05 and 286.44 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.51 : 721.05 = 286.44 : x
  2. Step 2: Convert to fraction form
    522.51/721.05 = 286.44/x
  3. Step 3: Cross multiply
    522.51x = 721.05 × 286.44
  4. Step 4: Simplify right side
    522.51x = 206,541.48
  5. Step 5: Solve for x
    x = 206,541.48/522.51
  6. Step 6: Final answer
    x = 395.29

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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.