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Finding the Fourth Proportional to 290.58, 436.23 and 275.46

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Solution

The fourth proportional to 290.58, 436.23 and 275.46 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 436.23 = 275.46 : x
  2. Step 2: Convert to fraction form
    290.58/436.23 = 275.46/x
  3. Step 3: Cross multiply
    290.58x = 436.23 × 275.46
  4. Step 4: Simplify right side
    290.58x = 120,163.92
  5. Step 5: Solve for x
    x = 120,163.92/290.58
  6. Step 6: Final answer
    x = 413.53

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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.