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Finding the Fourth Proportional to 522.24, 720.27 and 335.75

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Solution

The fourth proportional to 522.24, 720.27 and 335.75 is: 463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 720.27 = 335.75 : x
  2. Step 2: Convert to fraction form
    522.24/720.27 = 335.75/x
  3. Step 3: Cross multiply
    522.24x = 720.27 × 335.75
  4. Step 4: Simplify right side
    522.24x = 241,830.65
  5. Step 5: Solve for x
    x = 241,830.65/522.24
  6. Step 6: Final answer
    x = 463.06

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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.