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Finding the Fourth Proportional to 464.82, 694.16 and 396.46

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Solution

The fourth proportional to 464.82, 694.16 and 396.46 is: 592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 694.16 = 396.46 : x
  2. Step 2: Convert to fraction form
    464.82/694.16 = 396.46/x
  3. Step 3: Cross multiply
    464.82x = 694.16 × 396.46
  4. Step 4: Simplify right side
    464.82x = 275,206.67
  5. Step 5: Solve for x
    x = 275,206.67/464.82
  6. Step 6: Final answer
    x = 592.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.