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Finding the Fourth Proportional to 386.68, 533.64 and 212.02

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Solution

The fourth proportional to 386.68, 533.64 and 212.02 is: 292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 533.64 = 212.02 : x
  2. Step 2: Convert to fraction form
    386.68/533.64 = 212.02/x
  3. Step 3: Cross multiply
    386.68x = 533.64 × 212.02
  4. Step 4: Simplify right side
    386.68x = 113,142.35
  5. Step 5: Solve for x
    x = 113,142.35/386.68
  6. Step 6: Final answer
    x = 292.60

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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.