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Finding the Fourth Proportional to 405.88, 559.75 and 343.64

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Solution

The fourth proportional to 405.88, 559.75 and 343.64 is: 473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 559.75 = 343.64 : x
  2. Step 2: Convert to fraction form
    405.88/559.75 = 343.64/x
  3. Step 3: Cross multiply
    405.88x = 559.75 × 343.64
  4. Step 4: Simplify right side
    405.88x = 192,353.03
  5. Step 5: Solve for x
    x = 192,353.03/405.88
  6. Step 6: Final answer
    x = 473.92

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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.