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Finding the Fourth Proportional to 405.45, 559.37 and 258.05

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Solution

The fourth proportional to 405.45, 559.37 and 258.05 is: 356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.45 : 559.37 = 258.05 : x
  2. Step 2: Convert to fraction form
    405.45/559.37 = 258.05/x
  3. Step 3: Cross multiply
    405.45x = 559.37 × 258.05
  4. Step 4: Simplify right side
    405.45x = 144,347.47
  5. Step 5: Solve for x
    x = 144,347.47/405.45
  6. Step 6: Final answer
    x = 356.02

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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.