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Finding the Fourth Proportional to 405.30, 558.99 and 257.97

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Solution

The fourth proportional to 405.30, 558.99 and 257.97 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.30 : 558.99 = 257.97 : x
  2. Step 2: Convert to fraction form
    405.30/558.99 = 257.97/x
  3. Step 3: Cross multiply
    405.30x = 558.99 × 257.97
  4. Step 4: Simplify right side
    405.30x = 144,202.65
  5. Step 5: Solve for x
    x = 144,202.65/405.30
  6. Step 6: Final answer
    x = 355.79

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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.