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Finding the Fourth Proportional to 397.67, 594.96 and 275.55

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Solution

The fourth proportional to 397.67, 594.96 and 275.55 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.67 : 594.96 = 275.55 : x
  2. Step 2: Convert to fraction form
    397.67/594.96 = 275.55/x
  3. Step 3: Cross multiply
    397.67x = 594.96 × 275.55
  4. Step 4: Simplify right side
    397.67x = 163,941.23
  5. Step 5: Solve for x
    x = 163,941.23/397.67
  6. Step 6: Final answer
    x = 412.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.