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Finding the Fourth Proportional to 405.58, 559.62 and 258.22

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Solution

The fourth proportional to 405.58, 559.62 and 258.22 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.58 : 559.62 = 258.22 : x
  2. Step 2: Convert to fraction form
    405.58/559.62 = 258.22/x
  3. Step 3: Cross multiply
    405.58x = 559.62 × 258.22
  4. Step 4: Simplify right side
    405.58x = 144,505.08
  5. Step 5: Solve for x
    x = 144,505.08/405.58
  6. Step 6: Final answer
    x = 356.29

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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.