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Finding the Fourth Proportional to 554.09, 830.22 and 245.48

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Solution

The fourth proportional to 554.09, 830.22 and 245.48 is: 367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.09 : 830.22 = 245.48 : x
  2. Step 2: Convert to fraction form
    554.09/830.22 = 245.48/x
  3. Step 3: Cross multiply
    554.09x = 830.22 × 245.48
  4. Step 4: Simplify right side
    554.09x = 203,802.41
  5. Step 5: Solve for x
    x = 203,802.41/554.09
  6. Step 6: Final answer
    x = 367.81

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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.