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Finding the Fourth Proportional to 568.62, 854.82 and 466.66

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Solution

The fourth proportional to 568.62, 854.82 and 466.66 is: 701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 854.82 = 466.66 : x
  2. Step 2: Convert to fraction form
    568.62/854.82 = 466.66/x
  3. Step 3: Cross multiply
    568.62x = 854.82 × 466.66
  4. Step 4: Simplify right side
    568.62x = 398,911.37
  5. Step 5: Solve for x
    x = 398,911.37/568.62
  6. Step 6: Final answer
    x = 701.54

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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.