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Finding the Fourth Proportional to 522.44, 720.98 and 312.54

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Solution

The fourth proportional to 522.44, 720.98 and 312.54 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.44 : 720.98 = 312.54 : x
  2. Step 2: Convert to fraction form
    522.44/720.98 = 312.54/x
  3. Step 3: Cross multiply
    522.44x = 720.98 × 312.54
  4. Step 4: Simplify right side
    522.44x = 225,333.53
  5. Step 5: Solve for x
    x = 225,333.53/522.44
  6. Step 6: Final answer
    x = 431.31

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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.