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Finding the Fourth Proportional to 608.44, 911.76 and 511.24

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Solution

The fourth proportional to 608.44, 911.76 and 511.24 is: 766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.44 : 911.76 = 511.24 : x
  2. Step 2: Convert to fraction form
    608.44/911.76 = 511.24/x
  3. Step 3: Cross multiply
    608.44x = 911.76 × 511.24
  4. Step 4: Simplify right side
    608.44x = 466,128.18
  5. Step 5: Solve for x
    x = 466,128.18/608.44
  6. Step 6: Final answer
    x = 766.10

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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.