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Finding the Fourth Proportional to 804.22, 1,205.39 and 370.46

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Solution

The fourth proportional to 804.22, 1,205.39 and 370.46 is: 555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.22 : 1,205.39 = 370.46 : x
  2. Step 2: Convert to fraction form
    804.22/1,205.39 = 370.46/x
  3. Step 3: Cross multiply
    804.22x = 1,205.39 × 370.46
  4. Step 4: Simplify right side
    804.22x = 446,552.72
  5. Step 5: Solve for x
    x = 446,552.72/804.22
  6. Step 6: Final answer
    x = 555.26

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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.