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Finding the Fourth Proportional to 464.40, 640.68 and 289.64

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Solution

The fourth proportional to 464.40, 640.68 and 289.64 is: 399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 640.68 = 289.64 : x
  2. Step 2: Convert to fraction form
    464.40/640.68 = 289.64/x
  3. Step 3: Cross multiply
    464.40x = 640.68 × 289.64
  4. Step 4: Simplify right side
    464.40x = 185,566.56
  5. Step 5: Solve for x
    x = 185,566.56/464.40
  6. Step 6: Final answer
    x = 399.58

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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.