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Finding the Fourth Proportional to 804.57, 1,205.66 and 365.95

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Solution

The fourth proportional to 804.57, 1,205.66 and 365.95 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.57 : 1,205.66 = 365.95 : x
  2. Step 2: Convert to fraction form
    804.57/1,205.66 = 365.95/x
  3. Step 3: Cross multiply
    804.57x = 1,205.66 × 365.95
  4. Step 4: Simplify right side
    804.57x = 441,211.28
  5. Step 5: Solve for x
    x = 441,211.28/804.57
  6. Step 6: Final answer
    x = 548.38

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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.