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Finding the Fourth Proportional to 556.80, 768.37 and 335.64

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Solution

The fourth proportional to 556.80, 768.37 and 335.64 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 768.37 = 335.64 : x
  2. Step 2: Convert to fraction form
    556.80/768.37 = 335.64/x
  3. Step 3: Cross multiply
    556.80x = 768.37 × 335.64
  4. Step 4: Simplify right side
    556.80x = 257,894.03
  5. Step 5: Solve for x
    x = 257,894.03/556.80
  6. Step 6: Final answer
    x = 463.17

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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.