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Finding the Fourth Proportional to 405.07, 559.09 and 257.68

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Solution

The fourth proportional to 405.07, 559.09 and 257.68 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.07 : 559.09 = 257.68 : x
  2. Step 2: Convert to fraction form
    405.07/559.09 = 257.68/x
  3. Step 3: Cross multiply
    405.07x = 559.09 × 257.68
  4. Step 4: Simplify right side
    405.07x = 144,065.88
  5. Step 5: Solve for x
    x = 144,065.88/405.07
  6. Step 6: Final answer
    x = 355.66

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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.