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Finding the Fourth Proportional to 412.83, 569.49 and 255.35

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Solution

The fourth proportional to 412.83, 569.49 and 255.35 is: 352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.49 = 255.35 : x
  2. Step 2: Convert to fraction form
    412.83/569.49 = 255.35/x
  3. Step 3: Cross multiply
    412.83x = 569.49 × 255.35
  4. Step 4: Simplify right side
    412.83x = 145,416.42
  5. Step 5: Solve for x
    x = 145,416.42/412.83
  6. Step 6: Final answer
    x = 352.24

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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.