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Finding the Fourth Proportional to 464.62, 641.41 and 307.36

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Solution

The fourth proportional to 464.62, 641.41 and 307.36 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 641.41 = 307.36 : x
  2. Step 2: Convert to fraction form
    464.62/641.41 = 307.36/x
  3. Step 3: Cross multiply
    464.62x = 641.41 × 307.36
  4. Step 4: Simplify right side
    464.62x = 197,143.78
  5. Step 5: Solve for x
    x = 197,143.78/464.62
  6. Step 6: Final answer
    x = 424.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.