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Finding the Fourth Proportional to 677.56, 1,015.96 and 215.26

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Solution

The fourth proportional to 677.56, 1,015.96 and 215.26 is: 322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.56 : 1,015.96 = 215.26 : x
  2. Step 2: Convert to fraction form
    677.56/1,015.96 = 215.26/x
  3. Step 3: Cross multiply
    677.56x = 1,015.96 × 215.26
  4. Step 4: Simplify right side
    677.56x = 218,690.47
  5. Step 5: Solve for x
    x = 218,690.47/677.56
  6. Step 6: Final answer
    x = 322.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.