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Finding the Fourth Proportional to 409.69, 564.06 and 347.43

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Solution

The fourth proportional to 409.69, 564.06 and 347.43 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 564.06 = 347.43 : x
  2. Step 2: Convert to fraction form
    409.69/564.06 = 347.43/x
  3. Step 3: Cross multiply
    409.69x = 564.06 × 347.43
  4. Step 4: Simplify right side
    409.69x = 195,971.37
  5. Step 5: Solve for x
    x = 195,971.37/409.69
  6. Step 6: Final answer
    x = 478.34

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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.