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Finding the Fourth Proportional to 403.91, 605.70 and 378.09

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Solution

The fourth proportional to 403.91, 605.70 and 378.09 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.91 : 605.70 = 378.09 : x
  2. Step 2: Convert to fraction form
    403.91/605.70 = 378.09/x
  3. Step 3: Cross multiply
    403.91x = 605.70 × 378.09
  4. Step 4: Simplify right side
    403.91x = 229,009.11
  5. Step 5: Solve for x
    x = 229,009.11/403.91
  6. Step 6: Final answer
    x = 566.99

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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.