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Finding the Fourth Proportional to 404, 557.52 and 229.37

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Solution

The fourth proportional to 404, 557.52 and 229.37 is: 316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 557.52 = 229.37 : x
  2. Step 2: Convert to fraction form
    404/557.52 = 229.37/x
  3. Step 3: Cross multiply
    404x = 557.52 × 229.37
  4. Step 4: Simplify right side
    404x = 127,878.36
  5. Step 5: Solve for x
    x = 127,878.36/404
  6. Step 6: Final answer
    x = 316.53

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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.