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Finding the Fourth Proportional to 414.83, 573.16 and 335.40

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Solution

The fourth proportional to 414.83, 573.16 and 335.40 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 573.16 = 335.40 : x
  2. Step 2: Convert to fraction form
    414.83/573.16 = 335.40/x
  3. Step 3: Cross multiply
    414.83x = 573.16 × 335.40
  4. Step 4: Simplify right side
    414.83x = 192,237.86
  5. Step 5: Solve for x
    x = 192,237.86/414.83
  6. Step 6: Final answer
    x = 463.41

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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.