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Finding the Fourth Proportional to 610.10, 914.10 and 378.42

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Solution

The fourth proportional to 610.10, 914.10 and 378.42 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 914.10 = 378.42 : x
  2. Step 2: Convert to fraction form
    610.10/914.10 = 378.42/x
  3. Step 3: Cross multiply
    610.10x = 914.10 × 378.42
  4. Step 4: Simplify right side
    610.10x = 345,913.72
  5. Step 5: Solve for x
    x = 345,913.72/610.10
  6. Step 6: Final answer
    x = 566.98

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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.