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Finding the Fourth Proportional to 607.98, 838.44 and 409.26

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Solution

The fourth proportional to 607.98, 838.44 and 409.26 is: 564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.98 : 838.44 = 409.26 : x
  2. Step 2: Convert to fraction form
    607.98/838.44 = 409.26/x
  3. Step 3: Cross multiply
    607.98x = 838.44 × 409.26
  4. Step 4: Simplify right side
    607.98x = 343,139.95
  5. Step 5: Solve for x
    x = 343,139.95/607.98
  6. Step 6: Final answer
    x = 564.39

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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.