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Finding the Fourth Proportional to 486.74, 730.46 and 365.33

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Solution

The fourth proportional to 486.74, 730.46 and 365.33 is: 548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.74 : 730.46 = 365.33 : x
  2. Step 2: Convert to fraction form
    486.74/730.46 = 365.33/x
  3. Step 3: Cross multiply
    486.74x = 730.46 × 365.33
  4. Step 4: Simplify right side
    486.74x = 266,858.95
  5. Step 5: Solve for x
    x = 266,858.95/486.74
  6. Step 6: Final answer
    x = 548.26

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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.