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Finding the Fourth Proportional to 360.22, 540.48 and 314.65

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Solution

The fourth proportional to 360.22, 540.48 and 314.65 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 540.48 = 314.65 : x
  2. Step 2: Convert to fraction form
    360.22/540.48 = 314.65/x
  3. Step 3: Cross multiply
    360.22x = 540.48 × 314.65
  4. Step 4: Simplify right side
    360.22x = 170,062.03
  5. Step 5: Solve for x
    x = 170,062.03/360.22
  6. Step 6: Final answer
    x = 472.11

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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.