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Finding the Fourth Proportional to 496.44, 745.05 and 208.08

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Solution

The fourth proportional to 496.44, 745.05 and 208.08 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.44 : 745.05 = 208.08 : x
  2. Step 2: Convert to fraction form
    496.44/745.05 = 208.08/x
  3. Step 3: Cross multiply
    496.44x = 745.05 × 208.08
  4. Step 4: Simplify right side
    496.44x = 155,030.83
  5. Step 5: Solve for x
    x = 155,030.83/496.44
  6. Step 6: Final answer
    x = 312.28

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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.