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Finding the Fourth Proportional to 289.90, 436.98 and 273.17

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Solution

The fourth proportional to 289.90, 436.98 and 273.17 is: 411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 436.98 = 273.17 : x
  2. Step 2: Convert to fraction form
    289.90/436.98 = 273.17/x
  3. Step 3: Cross multiply
    289.90x = 436.98 × 273.17
  4. Step 4: Simplify right side
    289.90x = 119,369.83
  5. Step 5: Solve for x
    x = 119,369.83/289.90
  6. Step 6: Final answer
    x = 411.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.