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Finding the Fourth Proportional to 464.10, 640.08 and 333.18

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Solution

The fourth proportional to 464.10, 640.08 and 333.18 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 640.08 = 333.18 : x
  2. Step 2: Convert to fraction form
    464.10/640.08 = 333.18/x
  3. Step 3: Cross multiply
    464.10x = 640.08 × 333.18
  4. Step 4: Simplify right side
    464.10x = 213,261.85
  5. Step 5: Solve for x
    x = 213,261.85/464.10
  6. Step 6: Final answer
    x = 459.52

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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.