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Finding the Fourth Proportional to 414.06, 619.65 and 316.14

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Solution

The fourth proportional to 414.06, 619.65 and 316.14 is: 473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 619.65 = 316.14 : x
  2. Step 2: Convert to fraction form
    414.06/619.65 = 316.14/x
  3. Step 3: Cross multiply
    414.06x = 619.65 × 316.14
  4. Step 4: Simplify right side
    414.06x = 195,896.15
  5. Step 5: Solve for x
    x = 195,896.15/414.06
  6. Step 6: Final answer
    x = 473.11

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Why These Related Problems?

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