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Finding the Fourth Proportional to 464.23, 696.31 and 281.58

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Solution

The fourth proportional to 464.23, 696.31 and 281.58 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.23 : 696.31 = 281.58 : x
  2. Step 2: Convert to fraction form
    464.23/696.31 = 281.58/x
  3. Step 3: Cross multiply
    464.23x = 696.31 × 281.58
  4. Step 4: Simplify right side
    464.23x = 196,066.97
  5. Step 5: Solve for x
    x = 196,066.97/464.23
  6. Step 6: Final answer
    x = 422.35

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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.