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Finding the Fourth Proportional to 484.82, 668.88 and 288.26

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Solution

The fourth proportional to 484.82, 668.88 and 288.26 is: 397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.82 : 668.88 = 288.26 : x
  2. Step 2: Convert to fraction form
    484.82/668.88 = 288.26/x
  3. Step 3: Cross multiply
    484.82x = 668.88 × 288.26
  4. Step 4: Simplify right side
    484.82x = 192,811.35
  5. Step 5: Solve for x
    x = 192,811.35/484.82
  6. Step 6: Final answer
    x = 397.70

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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.