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Finding the Fourth Proportional to 412.82, 569.72 and 235.83

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Solution

The fourth proportional to 412.82, 569.72 and 235.83 is: 325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.82 : 569.72 = 235.83 : x
  2. Step 2: Convert to fraction form
    412.82/569.72 = 235.83/x
  3. Step 3: Cross multiply
    412.82x = 569.72 × 235.83
  4. Step 4: Simplify right side
    412.82x = 134,355.89
  5. Step 5: Solve for x
    x = 134,355.89/412.82
  6. Step 6: Final answer
    x = 325.46

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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.