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Finding the Fourth Proportional to 622.78, 859.46 and 360.81

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Solution

The fourth proportional to 622.78, 859.46 and 360.81 is: 497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.78 : 859.46 = 360.81 : x
  2. Step 2: Convert to fraction form
    622.78/859.46 = 360.81/x
  3. Step 3: Cross multiply
    622.78x = 859.46 × 360.81
  4. Step 4: Simplify right side
    622.78x = 310,099.96
  5. Step 5: Solve for x
    x = 310,099.96/622.78
  6. Step 6: Final answer
    x = 497.93

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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.