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Finding the Fourth Proportional to 414.90, 572.52 and 298.64

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Solution

The fourth proportional to 414.90, 572.52 and 298.64 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 572.52 = 298.64 : x
  2. Step 2: Convert to fraction form
    414.90/572.52 = 298.64/x
  3. Step 3: Cross multiply
    414.90x = 572.52 × 298.64
  4. Step 4: Simplify right side
    414.90x = 170,977.37
  5. Step 5: Solve for x
    x = 170,977.37/414.90
  6. Step 6: Final answer
    x = 412.09

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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.