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Finding the Fourth Proportional to 484.81, 668.97 and 288.28

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Solution

The fourth proportional to 484.81, 668.97 and 288.28 is: 397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 668.97 = 288.28 : x
  2. Step 2: Convert to fraction form
    484.81/668.97 = 288.28/x
  3. Step 3: Cross multiply
    484.81x = 668.97 × 288.28
  4. Step 4: Simplify right side
    484.81x = 192,851.51
  5. Step 5: Solve for x
    x = 192,851.51/484.81
  6. Step 6: Final answer
    x = 397.79

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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.