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Finding the Fourth Proportional to 280.20, 418.75 and 258.31

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Solution

The fourth proportional to 280.20, 418.75 and 258.31 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 418.75 = 258.31 : x
  2. Step 2: Convert to fraction form
    280.20/418.75 = 258.31/x
  3. Step 3: Cross multiply
    280.20x = 418.75 × 258.31
  4. Step 4: Simplify right side
    280.20x = 108,167.31
  5. Step 5: Solve for x
    x = 108,167.31/280.20
  6. Step 6: Final answer
    x = 386.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.