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Finding the Fourth Proportional to 865.07, 1,298.28 and 378.46

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Solution

The fourth proportional to 865.07, 1,298.28 and 378.46 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.07 : 1,298.28 = 378.46 : x
  2. Step 2: Convert to fraction form
    865.07/1,298.28 = 378.46/x
  3. Step 3: Cross multiply
    865.07x = 1,298.28 × 378.46
  4. Step 4: Simplify right side
    865.07x = 491,338.67
  5. Step 5: Solve for x
    x = 491,338.67/865.07
  6. Step 6: Final answer
    x = 567.98

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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.