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Finding the Fourth Proportional to 464.03, 640.63 and 298.46

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Solution

The fourth proportional to 464.03, 640.63 and 298.46 is: 412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.03 : 640.63 = 298.46 : x
  2. Step 2: Convert to fraction form
    464.03/640.63 = 298.46/x
  3. Step 3: Cross multiply
    464.03x = 640.63 × 298.46
  4. Step 4: Simplify right side
    464.03x = 191,203.44
  5. Step 5: Solve for x
    x = 191,203.44/464.03
  6. Step 6: Final answer
    x = 412.05

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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.