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Finding the Fourth Proportional to 568.26, 854.29 and 466.30

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Solution

The fourth proportional to 568.26, 854.29 and 466.30 is: 701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 854.29 = 466.30 : x
  2. Step 2: Convert to fraction form
    568.26/854.29 = 466.30/x
  3. Step 3: Cross multiply
    568.26x = 854.29 × 466.30
  4. Step 4: Simplify right side
    568.26x = 398,355.43
  5. Step 5: Solve for x
    x = 398,355.43/568.26
  6. Step 6: Final answer
    x = 701.01

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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.