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Finding the Fourth Proportional to 397.53, 595.17 and 260.28

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Solution

The fourth proportional to 397.53, 595.17 and 260.28 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 595.17 = 260.28 : x
  2. Step 2: Convert to fraction form
    397.53/595.17 = 260.28/x
  3. Step 3: Cross multiply
    397.53x = 595.17 × 260.28
  4. Step 4: Simplify right side
    397.53x = 154,910.85
  5. Step 5: Solve for x
    x = 154,910.85/397.53
  6. Step 6: Final answer
    x = 389.68

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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.