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Finding the Fourth Proportional to 464.32, 696.07 and 396.28

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Solution

The fourth proportional to 464.32, 696.07 and 396.28 is: 594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 696.07 = 396.28 : x
  2. Step 2: Convert to fraction form
    464.32/696.07 = 396.28/x
  3. Step 3: Cross multiply
    464.32x = 696.07 × 396.28
  4. Step 4: Simplify right side
    464.32x = 275,838.62
  5. Step 5: Solve for x
    x = 275,838.62/464.32
  6. Step 6: Final answer
    x = 594.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.