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Finding the Fourth Proportional to 483.06, 666.74 and 286.64

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Solution

The fourth proportional to 483.06, 666.74 and 286.64 is: 395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.06 : 666.74 = 286.64 : x
  2. Step 2: Convert to fraction form
    483.06/666.74 = 286.64/x
  3. Step 3: Cross multiply
    483.06x = 666.74 × 286.64
  4. Step 4: Simplify right side
    483.06x = 191,114.35
  5. Step 5: Solve for x
    x = 191,114.35/483.06
  6. Step 6: Final answer
    x = 395.63

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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.