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Finding the Fourth Proportional to 522.57, 720.68 and 326.10

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Solution

The fourth proportional to 522.57, 720.68 and 326.10 is: 449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 720.68 = 326.10 : x
  2. Step 2: Convert to fraction form
    522.57/720.68 = 326.10/x
  3. Step 3: Cross multiply
    522.57x = 720.68 × 326.10
  4. Step 4: Simplify right side
    522.57x = 235,012.12
  5. Step 5: Solve for x
    x = 235,012.12/522.57
  6. Step 6: Final answer
    x = 449.72

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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.