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Finding the Fourth Proportional to 464.46, 640.08 and 333.24

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Solution

The fourth proportional to 464.46, 640.08 and 333.24 is: 459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.46 : 640.08 = 333.24 : x
  2. Step 2: Convert to fraction form
    464.46/640.08 = 333.24/x
  3. Step 3: Cross multiply
    464.46x = 640.08 × 333.24
  4. Step 4: Simplify right side
    464.46x = 213,300.26
  5. Step 5: Solve for x
    x = 213,300.26/464.46
  6. Step 6: Final answer
    x = 459.24

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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.