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Finding the Fourth Proportional to 496.49, 745.17 and 290.78

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Solution

The fourth proportional to 496.49, 745.17 and 290.78 is: 436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.49 : 745.17 = 290.78 : x
  2. Step 2: Convert to fraction form
    496.49/745.17 = 290.78/x
  3. Step 3: Cross multiply
    496.49x = 745.17 × 290.78
  4. Step 4: Simplify right side
    496.49x = 216,680.53
  5. Step 5: Solve for x
    x = 216,680.53/496.49
  6. Step 6: Final answer
    x = 436.42

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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.