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Finding the Fourth Proportional to 568.80, 853.68 and 325.48

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Solution

The fourth proportional to 568.80, 853.68 and 325.48 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 853.68 = 325.48 : x
  2. Step 2: Convert to fraction form
    568.80/853.68 = 325.48/x
  3. Step 3: Cross multiply
    568.80x = 853.68 × 325.48
  4. Step 4: Simplify right side
    568.80x = 277,855.77
  5. Step 5: Solve for x
    x = 277,855.77/568.80
  6. Step 6: Final answer
    x = 488.49

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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.