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Finding the Fourth Proportional to 405.21, 559.08 and 257.79

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Solution

The fourth proportional to 405.21, 559.08 and 257.79 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.21 : 559.08 = 257.79 : x
  2. Step 2: Convert to fraction form
    405.21/559.08 = 257.79/x
  3. Step 3: Cross multiply
    405.21x = 559.08 × 257.79
  4. Step 4: Simplify right side
    405.21x = 144,125.23
  5. Step 5: Solve for x
    x = 144,125.23/405.21
  6. Step 6: Final answer
    x = 355.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.