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Finding the Fourth Proportional to 484.56, 668.76 and 288.12

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Solution

The fourth proportional to 484.56, 668.76 and 288.12 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.56 : 668.76 = 288.12 : x
  2. Step 2: Convert to fraction form
    484.56/668.76 = 288.12/x
  3. Step 3: Cross multiply
    484.56x = 668.76 × 288.12
  4. Step 4: Simplify right side
    484.56x = 192,683.13
  5. Step 5: Solve for x
    x = 192,683.13/484.56
  6. Step 6: Final answer
    x = 397.65

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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.