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Finding the Fourth Proportional to 386.52, 533.16 and 312.84

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Solution

The fourth proportional to 386.52, 533.16 and 312.84 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 533.16 = 312.84 : x
  2. Step 2: Convert to fraction form
    386.52/533.16 = 312.84/x
  3. Step 3: Cross multiply
    386.52x = 533.16 × 312.84
  4. Step 4: Simplify right side
    386.52x = 166,793.77
  5. Step 5: Solve for x
    x = 166,793.77/386.52
  6. Step 6: Final answer
    x = 431.53

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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.