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Finding the Fourth Proportional to 452.44, 678.72 and 209.04

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Solution

The fourth proportional to 452.44, 678.72 and 209.04 is: 313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 678.72 = 209.04 : x
  2. Step 2: Convert to fraction form
    452.44/678.72 = 209.04/x
  3. Step 3: Cross multiply
    452.44x = 678.72 × 209.04
  4. Step 4: Simplify right side
    452.44x = 141,879.63
  5. Step 5: Solve for x
    x = 141,879.63/452.44
  6. Step 6: Final answer
    x = 313.59

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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.