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Finding the Fourth Proportional to 569.80, 786.05 and 490.98

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Solution

The fourth proportional to 569.80, 786.05 and 490.98 is: 677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 786.05 = 490.98 : x
  2. Step 2: Convert to fraction form
    569.80/786.05 = 490.98/x
  3. Step 3: Cross multiply
    569.80x = 786.05 × 490.98
  4. Step 4: Simplify right side
    569.80x = 385,932.37
  5. Step 5: Solve for x
    x = 385,932.37/569.80
  6. Step 6: Final answer
    x = 677.31

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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.