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Finding the Fourth Proportional to 412.54, 569.17 and 255.19

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Solution

The fourth proportional to 412.54, 569.17 and 255.19 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 569.17 = 255.19 : x
  2. Step 2: Convert to fraction form
    412.54/569.17 = 255.19/x
  3. Step 3: Cross multiply
    412.54x = 569.17 × 255.19
  4. Step 4: Simplify right side
    412.54x = 145,246.49
  5. Step 5: Solve for x
    x = 145,246.49/412.54
  6. Step 6: Final answer
    x = 352.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.