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Finding the Fourth Proportional to 622.76, 859.46 and 360.80

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Solution

The fourth proportional to 622.76, 859.46 and 360.80 is: 497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.76 : 859.46 = 360.80 : x
  2. Step 2: Convert to fraction form
    622.76/859.46 = 360.80/x
  3. Step 3: Cross multiply
    622.76x = 859.46 × 360.80
  4. Step 4: Simplify right side
    622.76x = 310,093.17
  5. Step 5: Solve for x
    x = 310,093.17/622.76
  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.