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Finding the Fourth Proportional to 893.90, 1,341 and 277.46

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Solution

The fourth proportional to 893.90, 1,341 and 277.46 is: 416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.90 : 1,341 = 277.46 : x
  2. Step 2: Convert to fraction form
    893.90/1,341 = 277.46/x
  3. Step 3: Cross multiply
    893.90x = 1,341 × 277.46
  4. Step 4: Simplify right side
    893.90x = 372,073.86
  5. Step 5: Solve for x
    x = 372,073.86/893.90
  6. Step 6: Final answer
    x = 416.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.