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Finding the Fourth Proportional to 568.48, 853.32 and 337.63

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Solution

The fourth proportional to 568.48, 853.32 and 337.63 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.48 : 853.32 = 337.63 : x
  2. Step 2: Convert to fraction form
    568.48/853.32 = 337.63/x
  3. Step 3: Cross multiply
    568.48x = 853.32 × 337.63
  4. Step 4: Simplify right side
    568.48x = 288,106.43
  5. Step 5: Solve for x
    x = 288,106.43/568.48
  6. Step 6: Final answer
    x = 506.80

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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.