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Finding the Fourth Proportional to 405.30, 559.42 and 349.80

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Solution

The fourth proportional to 405.30, 559.42 and 349.80 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.30 : 559.42 = 349.80 : x
  2. Step 2: Convert to fraction form
    405.30/559.42 = 349.80/x
  3. Step 3: Cross multiply
    405.30x = 559.42 × 349.80
  4. Step 4: Simplify right side
    405.30x = 195,685.12
  5. Step 5: Solve for x
    x = 195,685.12/405.30
  6. Step 6: Final answer
    x = 482.82

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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.