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Finding the Fourth Proportional to 893.45, 1,340.28 and 277.04

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Solution

The fourth proportional to 893.45, 1,340.28 and 277.04 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.45 : 1,340.28 = 277.04 : x
  2. Step 2: Convert to fraction form
    893.45/1,340.28 = 277.04/x
  3. Step 3: Cross multiply
    893.45x = 1,340.28 × 277.04
  4. Step 4: Simplify right side
    893.45x = 371,311.17
  5. Step 5: Solve for x
    x = 371,311.17/893.45
  6. Step 6: Final answer
    x = 415.59

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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.