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Finding the Fourth Proportional to 387.31, 583.63 and 320.34

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Solution

The fourth proportional to 387.31, 583.63 and 320.34 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.31 : 583.63 = 320.34 : x
  2. Step 2: Convert to fraction form
    387.31/583.63 = 320.34/x
  3. Step 3: Cross multiply
    387.31x = 583.63 × 320.34
  4. Step 4: Simplify right side
    387.31x = 186,958.43
  5. Step 5: Solve for x
    x = 186,958.43/387.31
  6. Step 6: Final answer
    x = 482.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.