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Finding the Fourth Proportional to 458.06, 632.26 and 365.44

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Solution

The fourth proportional to 458.06, 632.26 and 365.44 is: 504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 632.26 = 365.44 : x
  2. Step 2: Convert to fraction form
    458.06/632.26 = 365.44/x
  3. Step 3: Cross multiply
    458.06x = 632.26 × 365.44
  4. Step 4: Simplify right side
    458.06x = 231,049.32
  5. Step 5: Solve for x
    x = 231,049.32/458.06
  6. Step 6: Final answer
    x = 504.41

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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.