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Finding the Fourth Proportional to 608.53, 911.63 and 402.49

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Solution

The fourth proportional to 608.53, 911.63 and 402.49 is: 602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.53 : 911.63 = 402.49 : x
  2. Step 2: Convert to fraction form
    608.53/911.63 = 402.49/x
  3. Step 3: Cross multiply
    608.53x = 911.63 × 402.49
  4. Step 4: Simplify right side
    608.53x = 366,915.39
  5. Step 5: Solve for x
    x = 366,915.39/608.53
  6. Step 6: Final answer
    x = 602.96

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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.