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Finding the Fourth Proportional to 414.94, 572.10 and 316.54

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Solution

The fourth proportional to 414.94, 572.10 and 316.54 is: 436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 572.10 = 316.54 : x
  2. Step 2: Convert to fraction form
    414.94/572.10 = 316.54/x
  3. Step 3: Cross multiply
    414.94x = 572.10 × 316.54
  4. Step 4: Simplify right side
    414.94x = 181,092.53
  5. Step 5: Solve for x
    x = 181,092.53/414.94
  6. Step 6: Final answer
    x = 436.43

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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.