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Finding the Fourth Proportional to 865.37, 1,298.48 and 378.36

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Solution

The fourth proportional to 865.37, 1,298.48 and 378.36 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.37 : 1,298.48 = 378.36 : x
  2. Step 2: Convert to fraction form
    865.37/1,298.48 = 378.36/x
  3. Step 3: Cross multiply
    865.37x = 1,298.48 × 378.36
  4. Step 4: Simplify right side
    865.37x = 491,292.89
  5. Step 5: Solve for x
    x = 491,292.89/865.37
  6. Step 6: Final answer
    x = 567.73

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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.