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Finding the Fourth Proportional to 291.13, 436.39 and 209.93

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Solution

The fourth proportional to 291.13, 436.39 and 209.93 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.13 : 436.39 = 209.93 : x
  2. Step 2: Convert to fraction form
    291.13/436.39 = 209.93/x
  3. Step 3: Cross multiply
    291.13x = 436.39 × 209.93
  4. Step 4: Simplify right side
    291.13x = 91,611.35
  5. Step 5: Solve for x
    x = 91,611.35/291.13
  6. Step 6: Final answer
    x = 314.68

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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.