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Finding the Fourth Proportional to 464.62, 697.42 and 248.68

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Solution

The fourth proportional to 464.62, 697.42 and 248.68 is: 373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 697.42 = 248.68 : x
  2. Step 2: Convert to fraction form
    464.62/697.42 = 248.68/x
  3. Step 3: Cross multiply
    464.62x = 697.42 × 248.68
  4. Step 4: Simplify right side
    464.62x = 173,434.41
  5. Step 5: Solve for x
    x = 173,434.41/464.62
  6. Step 6: Final answer
    x = 373.28

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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.