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Finding the Fourth Proportional to 804.98, 1,208.05 and 366.72

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Solution

The fourth proportional to 804.98, 1,208.05 and 366.72 is: 550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.98 : 1,208.05 = 366.72 : x
  2. Step 2: Convert to fraction form
    804.98/1,208.05 = 366.72/x
  3. Step 3: Cross multiply
    804.98x = 1,208.05 × 366.72
  4. Step 4: Simplify right side
    804.98x = 443,018.14
  5. Step 5: Solve for x
    x = 443,018.14/804.98
  6. Step 6: Final answer
    x = 550.35

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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.