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Finding the Fourth Proportional to 482.36, 665.75 and 305.44

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Solution

The fourth proportional to 482.36, 665.75 and 305.44 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.36 : 665.75 = 305.44 : x
  2. Step 2: Convert to fraction form
    482.36/665.75 = 305.44/x
  3. Step 3: Cross multiply
    482.36x = 665.75 × 305.44
  4. Step 4: Simplify right side
    482.36x = 203,345.78
  5. Step 5: Solve for x
    x = 203,345.78/482.36
  6. Step 6: Final answer
    x = 421.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.