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Finding the Fourth Proportional to 335.80, 462.13 and 304.75

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Solution

The fourth proportional to 335.80, 462.13 and 304.75 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.80 : 462.13 = 304.75 : x
  2. Step 2: Convert to fraction form
    335.80/462.13 = 304.75/x
  3. Step 3: Cross multiply
    335.80x = 462.13 × 304.75
  4. Step 4: Simplify right side
    335.80x = 140,834.12
  5. Step 5: Solve for x
    x = 140,834.12/335.80
  6. Step 6: Final answer
    x = 419.40

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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.