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Finding the Fourth Proportional to 622.62, 859.49 and 412.91

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Solution

The fourth proportional to 622.62, 859.49 and 412.91 is: 569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 859.49 = 412.91 : x
  2. Step 2: Convert to fraction form
    622.62/859.49 = 412.91/x
  3. Step 3: Cross multiply
    622.62x = 859.49 × 412.91
  4. Step 4: Simplify right side
    622.62x = 354,885.65
  5. Step 5: Solve for x
    x = 354,885.65/622.62
  6. Step 6: Final answer
    x = 569.99

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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.