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Finding the Fourth Proportional to 464.89, 696.87 and 205.03

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Solution

The fourth proportional to 464.89, 696.87 and 205.03 is: 307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.89 : 696.87 = 205.03 : x
  2. Step 2: Convert to fraction form
    464.89/696.87 = 205.03/x
  3. Step 3: Cross multiply
    464.89x = 696.87 × 205.03
  4. Step 4: Simplify right side
    464.89x = 142,879.26
  5. Step 5: Solve for x
    x = 142,879.26/464.89
  6. Step 6: Final answer
    x = 307.34

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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.