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Finding the Fourth Proportional to 568.01, 852.73 and 414.92

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Solution

The fourth proportional to 568.01, 852.73 and 414.92 is: 622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.01 : 852.73 = 414.92 : x
  2. Step 2: Convert to fraction form
    568.01/852.73 = 414.92/x
  3. Step 3: Cross multiply
    568.01x = 852.73 × 414.92
  4. Step 4: Simplify right side
    568.01x = 353,815.83
  5. Step 5: Solve for x
    x = 353,815.83/568.01
  6. Step 6: Final answer
    x = 622.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.