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Finding the Fourth Proportional to 866.10, 1,298.34 and 378.48

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Solution

The fourth proportional to 866.10, 1,298.34 and 378.48 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.10 : 1,298.34 = 378.48 : x
  2. Step 2: Convert to fraction form
    866.10/1,298.34 = 378.48/x
  3. Step 3: Cross multiply
    866.10x = 1,298.34 × 378.48
  4. Step 4: Simplify right side
    866.10x = 491,395.72
  5. Step 5: Solve for x
    x = 491,395.72/866.10
  6. Step 6: Final answer
    x = 567.37

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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.