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Finding the Fourth Proportional to 464.05, 640.04 and 339.67

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Solution

The fourth proportional to 464.05, 640.04 and 339.67 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 640.04 = 339.67 : x
  2. Step 2: Convert to fraction form
    464.05/640.04 = 339.67/x
  3. Step 3: Cross multiply
    464.05x = 640.04 × 339.67
  4. Step 4: Simplify right side
    464.05x = 217,401.12
  5. Step 5: Solve for x
    x = 217,401.12/464.05
  6. Step 6: Final answer
    x = 468.48

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Why These Related Problems?

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