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Finding the Fourth Proportional to 556.98, 768.69 and 416.85

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Solution

The fourth proportional to 556.98, 768.69 and 416.85 is: 575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 768.69 = 416.85 : x
  2. Step 2: Convert to fraction form
    556.98/768.69 = 416.85/x
  3. Step 3: Cross multiply
    556.98x = 768.69 × 416.85
  4. Step 4: Simplify right side
    556.98x = 320,428.43
  5. Step 5: Solve for x
    x = 320,428.43/556.98
  6. Step 6: Final answer
    x = 575.30

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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.