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Finding the Fourth Proportional to 893.57, 1,340.30 and 345.71

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Solution

The fourth proportional to 893.57, 1,340.30 and 345.71 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.57 : 1,340.30 = 345.71 : x
  2. Step 2: Convert to fraction form
    893.57/1,340.30 = 345.71/x
  3. Step 3: Cross multiply
    893.57x = 1,340.30 × 345.71
  4. Step 4: Simplify right side
    893.57x = 463,353.61
  5. Step 5: Solve for x
    x = 463,353.61/893.57
  6. Step 6: Final answer
    x = 518.54

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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.