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Finding the Fourth Proportional to 556.50, 768.06 and 323.76

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Solution

The fourth proportional to 556.50, 768.06 and 323.76 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.50 : 768.06 = 323.76 : x
  2. Step 2: Convert to fraction form
    556.50/768.06 = 323.76/x
  3. Step 3: Cross multiply
    556.50x = 768.06 × 323.76
  4. Step 4: Simplify right side
    556.50x = 248,667.11
  5. Step 5: Solve for x
    x = 248,667.11/556.50
  6. Step 6: Final answer
    x = 446.84

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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.