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Finding the Fourth Proportional to 412.08, 618.52 and 313.66

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Solution

The fourth proportional to 412.08, 618.52 and 313.66 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 618.52 = 313.66 : x
  2. Step 2: Convert to fraction form
    412.08/618.52 = 313.66/x
  3. Step 3: Cross multiply
    412.08x = 618.52 × 313.66
  4. Step 4: Simplify right side
    412.08x = 194,004.98
  5. Step 5: Solve for x
    x = 194,004.98/412.08
  6. Step 6: Final answer
    x = 470.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.