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Finding the Fourth Proportional to 345.69, 477.23 and 248.09

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Solution

The fourth proportional to 345.69, 477.23 and 248.09 is: 342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 477.23 = 248.09 : x
  2. Step 2: Convert to fraction form
    345.69/477.23 = 248.09/x
  3. Step 3: Cross multiply
    345.69x = 477.23 × 248.09
  4. Step 4: Simplify right side
    345.69x = 118,392.36
  5. Step 5: Solve for x
    x = 118,392.36/345.69
  6. Step 6: Final answer
    x = 342.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.