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Finding the Fourth Proportional to 804.02, 1,205.73 and 365.40

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Solution

The fourth proportional to 804.02, 1,205.73 and 365.40 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.02 : 1,205.73 = 365.40 : x
  2. Step 2: Convert to fraction form
    804.02/1,205.73 = 365.40/x
  3. Step 3: Cross multiply
    804.02x = 1,205.73 × 365.40
  4. Step 4: Simplify right side
    804.02x = 440,573.74
  5. Step 5: Solve for x
    x = 440,573.74/804.02
  6. Step 6: Final answer
    x = 547.96

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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.