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Finding the Fourth Proportional to 360.33, 540.55 and 257.44

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Solution

The fourth proportional to 360.33, 540.55 and 257.44 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.33 : 540.55 = 257.44 : x
  2. Step 2: Convert to fraction form
    360.33/540.55 = 257.44/x
  3. Step 3: Cross multiply
    360.33x = 540.55 × 257.44
  4. Step 4: Simplify right side
    360.33x = 139,156.49
  5. Step 5: Solve for x
    x = 139,156.49/360.33
  6. Step 6: Final answer
    x = 386.19

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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.