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Finding the Fourth Proportional to 622.13, 858.44 and 360.09

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Solution

The fourth proportional to 622.13, 858.44 and 360.09 is: 496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 858.44 = 360.09 : x
  2. Step 2: Convert to fraction form
    622.13/858.44 = 360.09/x
  3. Step 3: Cross multiply
    622.13x = 858.44 × 360.09
  4. Step 4: Simplify right side
    622.13x = 309,113.86
  5. Step 5: Solve for x
    x = 309,113.86/622.13
  6. Step 6: Final answer
    x = 496.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.