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Finding the Fourth Proportional to 414.94, 572.96 and 310.14

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Solution

The fourth proportional to 414.94, 572.96 and 310.14 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 572.96 = 310.14 : x
  2. Step 2: Convert to fraction form
    414.94/572.96 = 310.14/x
  3. Step 3: Cross multiply
    414.94x = 572.96 × 310.14
  4. Step 4: Simplify right side
    414.94x = 177,697.81
  5. Step 5: Solve for x
    x = 177,697.81/414.94
  6. Step 6: Final answer
    x = 428.25

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Why These Related Problems?

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