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Finding the Fourth Proportional to 522.70, 720.97 and 335.89

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Solution

The fourth proportional to 522.70, 720.97 and 335.89 is: 463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 720.97 = 335.89 : x
  2. Step 2: Convert to fraction form
    522.70/720.97 = 335.89/x
  3. Step 3: Cross multiply
    522.70x = 720.97 × 335.89
  4. Step 4: Simplify right side
    522.70x = 242,166.61
  5. Step 5: Solve for x
    x = 242,166.61/522.70
  6. Step 6: Final answer
    x = 463.30

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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.