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Finding the Fourth Proportional to 569.81, 856.62 and 449.52

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Solution

The fourth proportional to 569.81, 856.62 and 449.52 is: 675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.81 : 856.62 = 449.52 : x
  2. Step 2: Convert to fraction form
    569.81/856.62 = 449.52/x
  3. Step 3: Cross multiply
    569.81x = 856.62 × 449.52
  4. Step 4: Simplify right side
    569.81x = 385,067.82
  5. Step 5: Solve for x
    x = 385,067.82/569.81
  6. Step 6: Final answer
    x = 675.79

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