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Finding the Fourth Proportional to 893.37, 1,340.29 and 345.41

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Solution

The fourth proportional to 893.37, 1,340.29 and 345.41 is: 518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.37 : 1,340.29 = 345.41 : x
  2. Step 2: Convert to fraction form
    893.37/1,340.29 = 345.41/x
  3. Step 3: Cross multiply
    893.37x = 1,340.29 × 345.41
  4. Step 4: Simplify right side
    893.37x = 462,949.57
  5. Step 5: Solve for x
    x = 462,949.57/893.37
  6. Step 6: Final answer
    x = 518.21

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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.