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Finding the Fourth Proportional to 893.16, 1,339.92 and 276.93

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Solution

The fourth proportional to 893.16, 1,339.92 and 276.93 is: 415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,339.92 = 276.93 : x
  2. Step 2: Convert to fraction form
    893.16/1,339.92 = 276.93/x
  3. Step 3: Cross multiply
    893.16x = 1,339.92 × 276.93
  4. Step 4: Simplify right side
    893.16x = 371,064.05
  5. Step 5: Solve for x
    x = 371,064.05/893.16
  6. Step 6: Final answer
    x = 415.45

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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.