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Finding the Fourth Proportional to 297.54, 410.77 and 204.34

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Solution

The fourth proportional to 297.54, 410.77 and 204.34 is: 282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 410.77 = 204.34 : x
  2. Step 2: Convert to fraction form
    297.54/410.77 = 204.34/x
  3. Step 3: Cross multiply
    297.54x = 410.77 × 204.34
  4. Step 4: Simplify right side
    297.54x = 83,936.74
  5. Step 5: Solve for x
    x = 83,936.74/297.54
  6. Step 6: Final answer
    x = 282.10

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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.