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Finding the Fourth Proportional to 568.91, 853.16 and 386.46

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Solution

The fourth proportional to 568.91, 853.16 and 386.46 is: 579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.91 : 853.16 = 386.46 : x
  2. Step 2: Convert to fraction form
    568.91/853.16 = 386.46/x
  3. Step 3: Cross multiply
    568.91x = 853.16 × 386.46
  4. Step 4: Simplify right side
    568.91x = 329,710.28
  5. Step 5: Solve for x
    x = 329,710.28/568.91
  6. Step 6: Final answer
    x = 579.55

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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.