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Finding the Fourth Proportional to 414.89, 572.70 and 304.94

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Solution

The fourth proportional to 414.89, 572.70 and 304.94 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.89 : 572.70 = 304.94 : x
  2. Step 2: Convert to fraction form
    414.89/572.70 = 304.94/x
  3. Step 3: Cross multiply
    414.89x = 572.70 × 304.94
  4. Step 4: Simplify right side
    414.89x = 174,636.27
  5. Step 5: Solve for x
    x = 174,636.27/414.89
  6. Step 6: Final answer
    x = 420.93

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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.