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Finding the Fourth Proportional to 554.44, 829.56 and 338.16

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Solution

The fourth proportional to 554.44, 829.56 and 338.16 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.44 : 829.56 = 338.16 : x
  2. Step 2: Convert to fraction form
    554.44/829.56 = 338.16/x
  3. Step 3: Cross multiply
    554.44x = 829.56 × 338.16
  4. Step 4: Simplify right side
    554.44x = 280,524.01
  5. Step 5: Solve for x
    x = 280,524.01/554.44
  6. Step 6: Final answer
    x = 505.96

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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.