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Finding the Fourth Proportional to 353.85, 488.27 and 280.35

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Solution

The fourth proportional to 353.85, 488.27 and 280.35 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.85 : 488.27 = 280.35 : x
  2. Step 2: Convert to fraction form
    353.85/488.27 = 280.35/x
  3. Step 3: Cross multiply
    353.85x = 488.27 × 280.35
  4. Step 4: Simplify right side
    353.85x = 136,886.49
  5. Step 5: Solve for x
    x = 136,886.49/353.85
  6. Step 6: Final answer
    x = 386.85

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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.