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Finding the Fourth Proportional to 412.48, 569.12 and 255.04

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Solution

The fourth proportional to 412.48, 569.12 and 255.04 is: 351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 569.12 = 255.04 : x
  2. Step 2: Convert to fraction form
    412.48/569.12 = 255.04/x
  3. Step 3: Cross multiply
    412.48x = 569.12 × 255.04
  4. Step 4: Simplify right side
    412.48x = 145,148.36
  5. Step 5: Solve for x
    x = 145,148.36/412.48
  6. Step 6: Final answer
    x = 351.89

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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.