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Finding the Fourth Proportional to 405.16, 559.14 and 257.83

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Solution

The fourth proportional to 405.16, 559.14 and 257.83 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.16 : 559.14 = 257.83 : x
  2. Step 2: Convert to fraction form
    405.16/559.14 = 257.83/x
  3. Step 3: Cross multiply
    405.16x = 559.14 × 257.83
  4. Step 4: Simplify right side
    405.16x = 144,163.07
  5. Step 5: Solve for x
    x = 144,163.07/405.16
  6. Step 6: Final answer
    x = 355.82

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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.