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Finding the Fourth Proportional to 414.80, 572.16 and 298.16

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Solution

The fourth proportional to 414.80, 572.16 and 298.16 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.80 : 572.16 = 298.16 : x
  2. Step 2: Convert to fraction form
    414.80/572.16 = 298.16/x
  3. Step 3: Cross multiply
    414.80x = 572.16 × 298.16
  4. Step 4: Simplify right side
    414.80x = 170,595.23
  5. Step 5: Solve for x
    x = 170,595.23/414.80
  6. Step 6: Final answer
    x = 411.27

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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.