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Finding the Fourth Proportional to 607.26, 838.14 and 518.42

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Solution

The fourth proportional to 607.26, 838.14 and 518.42 is: 715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.26 : 838.14 = 518.42 : x
  2. Step 2: Convert to fraction form
    607.26/838.14 = 518.42/x
  3. Step 3: Cross multiply
    607.26x = 838.14 × 518.42
  4. Step 4: Simplify right side
    607.26x = 434,508.54
  5. Step 5: Solve for x
    x = 434,508.54/607.26
  6. Step 6: Final answer
    x = 715.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.