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Finding the Fourth Proportional to 414.93, 572.36 and 316.65

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Solution

The fourth proportional to 414.93, 572.36 and 316.65 is: 436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.93 : 572.36 = 316.65 : x
  2. Step 2: Convert to fraction form
    414.93/572.36 = 316.65/x
  3. Step 3: Cross multiply
    414.93x = 572.36 × 316.65
  4. Step 4: Simplify right side
    414.93x = 181,236.21
  5. Step 5: Solve for x
    x = 181,236.21/414.93
  6. Step 6: Final answer
    x = 436.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.