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Finding the Fourth Proportional to 496.54, 744.36 and 208.18

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Solution

The fourth proportional to 496.54, 744.36 and 208.18 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.54 : 744.36 = 208.18 : x
  2. Step 2: Convert to fraction form
    496.54/744.36 = 208.18/x
  3. Step 3: Cross multiply
    496.54x = 744.36 × 208.18
  4. Step 4: Simplify right side
    496.54x = 154,960.86
  5. Step 5: Solve for x
    x = 154,960.86/496.54
  6. Step 6: Final answer
    x = 312.08

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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.