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Finding the Fourth Proportional to 291.34, 436.65 and 273.84

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Solution

The fourth proportional to 291.34, 436.65 and 273.84 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 436.65 = 273.84 : x
  2. Step 2: Convert to fraction form
    291.34/436.65 = 273.84/x
  3. Step 3: Cross multiply
    291.34x = 436.65 × 273.84
  4. Step 4: Simplify right side
    291.34x = 119,572.24
  5. Step 5: Solve for x
    x = 119,572.24/291.34
  6. Step 6: Final answer
    x = 410.42

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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.