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Finding the Fourth Proportional to 568.84, 854.94 and 377.80

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Solution

The fourth proportional to 568.84, 854.94 and 377.80 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.84 : 854.94 = 377.80 : x
  2. Step 2: Convert to fraction form
    568.84/854.94 = 377.80/x
  3. Step 3: Cross multiply
    568.84x = 854.94 × 377.80
  4. Step 4: Simplify right side
    568.84x = 322,996.33
  5. Step 5: Solve for x
    x = 322,996.33/568.84
  6. Step 6: Final answer
    x = 567.82

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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.