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Finding the Fourth Proportional to 567.26, 851.29 and 384.20

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Solution

The fourth proportional to 567.26, 851.29 and 384.20 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.26 : 851.29 = 384.20 : x
  2. Step 2: Convert to fraction form
    567.26/851.29 = 384.20/x
  3. Step 3: Cross multiply
    567.26x = 851.29 × 384.20
  4. Step 4: Simplify right side
    567.26x = 327,065.62
  5. Step 5: Solve for x
    x = 327,065.62/567.26
  6. Step 6: Final answer
    x = 576.57

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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.