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Finding the Fourth Proportional to 291.24, 436.38 and 214.36

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Solution

The fourth proportional to 291.24, 436.38 and 214.36 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 436.38 = 214.36 : x
  2. Step 2: Convert to fraction form
    291.24/436.38 = 214.36/x
  3. Step 3: Cross multiply
    291.24x = 436.38 × 214.36
  4. Step 4: Simplify right side
    291.24x = 93,542.42
  5. Step 5: Solve for x
    x = 93,542.42/291.24
  6. Step 6: Final answer
    x = 321.19

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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.