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Finding the Fourth Proportional to 412.92, 621.83 and 359.46

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Solution

The fourth proportional to 412.92, 621.83 and 359.46 is: 541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.92 : 621.83 = 359.46 : x
  2. Step 2: Convert to fraction form
    412.92/621.83 = 359.46/x
  3. Step 3: Cross multiply
    412.92x = 621.83 × 359.46
  4. Step 4: Simplify right side
    412.92x = 223,523.91
  5. Step 5: Solve for x
    x = 223,523.91/412.92
  6. Step 6: Final answer
    x = 541.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.