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Finding the Fourth Proportional to 405.26, 559.43 and 256.01

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Solution

The fourth proportional to 405.26, 559.43 and 256.01 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 559.43 = 256.01 : x
  2. Step 2: Convert to fraction form
    405.26/559.43 = 256.01/x
  3. Step 3: Cross multiply
    405.26x = 559.43 × 256.01
  4. Step 4: Simplify right side
    405.26x = 143,215.60
  5. Step 5: Solve for x
    x = 143,215.60/405.26
  6. Step 6: Final answer
    x = 353.40

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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.