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Finding the Fourth Proportional to 464.00, 640.85 and 353.23

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Solution

The fourth proportional to 464.00, 640.85 and 353.23 is: 487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.00 : 640.85 = 353.23 : x
  2. Step 2: Convert to fraction form
    464.00/640.85 = 353.23/x
  3. Step 3: Cross multiply
    464.00x = 640.85 × 353.23
  4. Step 4: Simplify right side
    464.00x = 226,364.08
  5. Step 5: Solve for x
    x = 226,364.08/464.00
  6. Step 6: Final answer
    x = 487.86

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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.