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Finding the Fourth Proportional to 405.34, 559.16 and 263.75

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Solution

The fourth proportional to 405.34, 559.16 and 263.75 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.34 : 559.16 = 263.75 : x
  2. Step 2: Convert to fraction form
    405.34/559.16 = 263.75/x
  3. Step 3: Cross multiply
    405.34x = 559.16 × 263.75
  4. Step 4: Simplify right side
    405.34x = 147,474.34
  5. Step 5: Solve for x
    x = 147,474.34/405.34
  6. Step 6: Final answer
    x = 363.83

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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.