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Finding the Fourth Proportional to 608.89, 911.96 and 471.52

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Solution

The fourth proportional to 608.89, 911.96 and 471.52 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.89 : 911.96 = 471.52 : x
  2. Step 2: Convert to fraction form
    608.89/911.96 = 471.52/x
  3. Step 3: Cross multiply
    608.89x = 911.96 × 471.52
  4. Step 4: Simplify right side
    608.89x = 430,002.82
  5. Step 5: Solve for x
    x = 430,002.82/608.89
  6. Step 6: Final answer
    x = 706.21

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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.