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Finding the Fourth Proportional to 568.89, 854.94 and 337.82

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Solution

The fourth proportional to 568.89, 854.94 and 337.82 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 854.94 = 337.82 : x
  2. Step 2: Convert to fraction form
    568.89/854.94 = 337.82/x
  3. Step 3: Cross multiply
    568.89x = 854.94 × 337.82
  4. Step 4: Simplify right side
    568.89x = 288,815.73
  5. Step 5: Solve for x
    x = 288,815.73/568.89
  6. Step 6: Final answer
    x = 507.68

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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.