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Finding the Fourth Proportional to 291.36, 436.65 and 213.96

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Solution

The fourth proportional to 291.36, 436.65 and 213.96 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.36 : 436.65 = 213.96 : x
  2. Step 2: Convert to fraction form
    291.36/436.65 = 213.96/x
  3. Step 3: Cross multiply
    291.36x = 436.65 × 213.96
  4. Step 4: Simplify right side
    291.36x = 93,425.63
  5. Step 5: Solve for x
    x = 93,425.63/291.36
  6. Step 6: Final answer
    x = 320.65

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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.