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Finding the Fourth Proportional to 622.82, 859.62 and 360.98

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Solution

The fourth proportional to 622.82, 859.62 and 360.98 is: 498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 859.62 = 360.98 : x
  2. Step 2: Convert to fraction form
    622.82/859.62 = 360.98/x
  3. Step 3: Cross multiply
    622.82x = 859.62 × 360.98
  4. Step 4: Simplify right side
    622.82x = 310,305.63
  5. Step 5: Solve for x
    x = 310,305.63/622.82
  6. Step 6: Final answer
    x = 498.23

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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.