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Finding the Fourth Proportional to 464.98, 697.43 and 282.33

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Solution

The fourth proportional to 464.98, 697.43 and 282.33 is: 423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.98 : 697.43 = 282.33 : x
  2. Step 2: Convert to fraction form
    464.98/697.43 = 282.33/x
  3. Step 3: Cross multiply
    464.98x = 697.43 × 282.33
  4. Step 4: Simplify right side
    464.98x = 196,905.41
  5. Step 5: Solve for x
    x = 196,905.41/464.98
  6. Step 6: Final answer
    x = 423.47

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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.