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Finding the Fourth Proportional to 360.86, 540.81 and 315.09

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Solution

The fourth proportional to 360.86, 540.81 and 315.09 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.86 : 540.81 = 315.09 : x
  2. Step 2: Convert to fraction form
    360.86/540.81 = 315.09/x
  3. Step 3: Cross multiply
    360.86x = 540.81 × 315.09
  4. Step 4: Simplify right side
    360.86x = 170,403.82
  5. Step 5: Solve for x
    x = 170,403.82/360.86
  6. Step 6: Final answer
    x = 472.22

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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.