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Finding the Fourth Proportional to 464.68, 640.72 and 307.44

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Solution

The fourth proportional to 464.68, 640.72 and 307.44 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 640.72 = 307.44 : x
  2. Step 2: Convert to fraction form
    464.68/640.72 = 307.44/x
  3. Step 3: Cross multiply
    464.68x = 640.72 × 307.44
  4. Step 4: Simplify right side
    464.68x = 196,982.96
  5. Step 5: Solve for x
    x = 196,982.96/464.68
  6. Step 6: Final answer
    x = 423.91

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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.