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Finding the Fourth Proportional to 404.80, 559.14 and 339.64

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Solution

The fourth proportional to 404.80, 559.14 and 339.64 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.80 : 559.14 = 339.64 : x
  2. Step 2: Convert to fraction form
    404.80/559.14 = 339.64/x
  3. Step 3: Cross multiply
    404.80x = 559.14 × 339.64
  4. Step 4: Simplify right side
    404.80x = 189,906.31
  5. Step 5: Solve for x
    x = 189,906.31/404.80
  6. Step 6: Final answer
    x = 469.14

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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.