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Finding the Fourth Proportional to 354.06, 488.32 and 280.26

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Solution

The fourth proportional to 354.06, 488.32 and 280.26 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 488.32 = 280.26 : x
  2. Step 2: Convert to fraction form
    354.06/488.32 = 280.26/x
  3. Step 3: Cross multiply
    354.06x = 488.32 × 280.26
  4. Step 4: Simplify right side
    354.06x = 136,855.86
  5. Step 5: Solve for x
    x = 136,855.86/354.06
  6. Step 6: Final answer
    x = 386.53

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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.