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Finding the Fourth Proportional to 397.88, 595.52 and 360.96

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Solution

The fourth proportional to 397.88, 595.52 and 360.96 is: 540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 595.52 = 360.96 : x
  2. Step 2: Convert to fraction form
    397.88/595.52 = 360.96/x
  3. Step 3: Cross multiply
    397.88x = 595.52 × 360.96
  4. Step 4: Simplify right side
    397.88x = 214,958.90
  5. Step 5: Solve for x
    x = 214,958.90/397.88
  6. Step 6: Final answer
    x = 540.26

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Why These Related Problems?

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