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Finding the Fourth Proportional to 568.92, 853.44 and 416.75

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Solution

The fourth proportional to 568.92, 853.44 and 416.75 is: 625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.92 : 853.44 = 416.75 : x
  2. Step 2: Convert to fraction form
    568.92/853.44 = 416.75/x
  3. Step 3: Cross multiply
    568.92x = 853.44 × 416.75
  4. Step 4: Simplify right side
    568.92x = 355,665.29
  5. Step 5: Solve for x
    x = 355,665.29/568.92
  6. Step 6: Final answer
    x = 625.15

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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.