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Finding the Fourth Proportional to 291.30, 436.27 and 209.14

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Solution

The fourth proportional to 291.30, 436.27 and 209.14 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.30 : 436.27 = 209.14 : x
  2. Step 2: Convert to fraction form
    291.30/436.27 = 209.14/x
  3. Step 3: Cross multiply
    291.30x = 436.27 × 209.14
  4. Step 4: Simplify right side
    291.30x = 91,240.29
  5. Step 5: Solve for x
    x = 91,240.29/291.30
  6. Step 6: Final answer
    x = 313.22

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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.