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Finding the Fourth Proportional to 522.15, 720.55 and 335.71

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Solution

The fourth proportional to 522.15, 720.55 and 335.71 is: 463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 720.55 = 335.71 : x
  2. Step 2: Convert to fraction form
    522.15/720.55 = 335.71/x
  3. Step 3: Cross multiply
    522.15x = 720.55 × 335.71
  4. Step 4: Simplify right side
    522.15x = 241,892.24
  5. Step 5: Solve for x
    x = 241,892.24/522.15
  6. Step 6: Final answer
    x = 463.27

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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.