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Finding the Fourth Proportional to 405.69, 559.57 and 306.25

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Solution

The fourth proportional to 405.69, 559.57 and 306.25 is: 422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.69 : 559.57 = 306.25 : x
  2. Step 2: Convert to fraction form
    405.69/559.57 = 306.25/x
  3. Step 3: Cross multiply
    405.69x = 559.57 × 306.25
  4. Step 4: Simplify right side
    405.69x = 171,368.31
  5. Step 5: Solve for x
    x = 171,368.31/405.69
  6. Step 6: Final answer
    x = 422.41

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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.