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Finding the Fourth Proportional to 414.09, 619.92 and 316.35

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Solution

The fourth proportional to 414.09, 619.92 and 316.35 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 619.92 = 316.35 : x
  2. Step 2: Convert to fraction form
    414.09/619.92 = 316.35/x
  3. Step 3: Cross multiply
    414.09x = 619.92 × 316.35
  4. Step 4: Simplify right side
    414.09x = 196,111.69
  5. Step 5: Solve for x
    x = 196,111.69/414.09
  6. Step 6: Final answer
    x = 473.60

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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.