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Finding the Fourth Proportional to 569.26, 854.40 and 295.54

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Solution

The fourth proportional to 569.26, 854.40 and 295.54 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.26 : 854.40 = 295.54 : x
  2. Step 2: Convert to fraction form
    569.26/854.40 = 295.54/x
  3. Step 3: Cross multiply
    569.26x = 854.40 × 295.54
  4. Step 4: Simplify right side
    569.26x = 252,509.38
  5. Step 5: Solve for x
    x = 252,509.38/569.26
  6. Step 6: Final answer
    x = 443.57

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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.