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Finding the Fourth Proportional to 556.81, 768.47 and 323.89

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Solution

The fourth proportional to 556.81, 768.47 and 323.89 is: 447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.81 : 768.47 = 323.89 : x
  2. Step 2: Convert to fraction form
    556.81/768.47 = 323.89/x
  3. Step 3: Cross multiply
    556.81x = 768.47 × 323.89
  4. Step 4: Simplify right side
    556.81x = 248,898.13
  5. Step 5: Solve for x
    x = 248,898.13/556.81
  6. Step 6: Final answer
    x = 447.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.