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Finding the Fourth Proportional to 412.96, 570.22 and 282.56

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Solution

The fourth proportional to 412.96, 570.22 and 282.56 is: 390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 570.22 = 282.56 : x
  2. Step 2: Convert to fraction form
    412.96/570.22 = 282.56/x
  3. Step 3: Cross multiply
    412.96x = 570.22 × 282.56
  4. Step 4: Simplify right side
    412.96x = 161,121.36
  5. Step 5: Solve for x
    x = 161,121.36/412.96
  6. Step 6: Final answer
    x = 390.16

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Why These Related Problems?

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