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Finding the Fourth Proportional to 622.06, 858.15 and 411.93

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Solution

The fourth proportional to 622.06, 858.15 and 411.93 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.06 : 858.15 = 411.93 : x
  2. Step 2: Convert to fraction form
    622.06/858.15 = 411.93/x
  3. Step 3: Cross multiply
    622.06x = 858.15 × 411.93
  4. Step 4: Simplify right side
    622.06x = 353,497.73
  5. Step 5: Solve for x
    x = 353,497.73/622.06
  6. Step 6: Final answer
    x = 568.27

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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.