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Finding the Fourth Proportional to 412.96, 570.33 and 280.77

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Solution

The fourth proportional to 412.96, 570.33 and 280.77 is: 387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 570.33 = 280.77 : x
  2. Step 2: Convert to fraction form
    412.96/570.33 = 280.77/x
  3. Step 3: Cross multiply
    412.96x = 570.33 × 280.77
  4. Step 4: Simplify right side
    412.96x = 160,130.15
  5. Step 5: Solve for x
    x = 160,130.15/412.96
  6. Step 6: Final answer
    x = 387.76

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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.