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Finding the Fourth Proportional to 893.31, 1,339.97 and 277.00

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Solution

The fourth proportional to 893.31, 1,339.97 and 277.00 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.31 : 1,339.97 = 277.00 : x
  2. Step 2: Convert to fraction form
    893.31/1,339.97 = 277.00/x
  3. Step 3: Cross multiply
    893.31x = 1,339.97 × 277.00
  4. Step 4: Simplify right side
    893.31x = 371,166.96
  5. Step 5: Solve for x
    x = 371,166.96/893.31
  6. Step 6: Final answer
    x = 415.50

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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.