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Finding the Fourth Proportional to 291.72, 436.86 and 204.84

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Solution

The fourth proportional to 291.72, 436.86 and 204.84 is: 306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.72 : 436.86 = 204.84 : x
  2. Step 2: Convert to fraction form
    291.72/436.86 = 204.84/x
  3. Step 3: Cross multiply
    291.72x = 436.86 × 204.84
  4. Step 4: Simplify right side
    291.72x = 89,486.40
  5. Step 5: Solve for x
    x = 89,486.40/291.72
  6. Step 6: Final answer
    x = 306.75

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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.