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Finding the Fourth Proportional to 280.08, 419.67 and 258.03

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Solution

The fourth proportional to 280.08, 419.67 and 258.03 is: 386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 419.67 = 258.03 : x
  2. Step 2: Convert to fraction form
    280.08/419.67 = 258.03/x
  3. Step 3: Cross multiply
    280.08x = 419.67 × 258.03
  4. Step 4: Simplify right side
    280.08x = 108,287.45
  5. Step 5: Solve for x
    x = 108,287.45/280.08
  6. Step 6: Final answer
    x = 386.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.