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Finding the Fourth Proportional to 412.85, 570.36 and 351.32

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Solution

The fourth proportional to 412.85, 570.36 and 351.32 is: 485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 570.36 = 351.32 : x
  2. Step 2: Convert to fraction form
    412.85/570.36 = 351.32/x
  3. Step 3: Cross multiply
    412.85x = 570.36 × 351.32
  4. Step 4: Simplify right side
    412.85x = 200,376.02
  5. Step 5: Solve for x
    x = 200,376.02/412.85
  6. Step 6: Final answer
    x = 485.35

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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.