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Finding the Fourth Proportional to 594.31, 820.15 and 342.27

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Solution

The fourth proportional to 594.31, 820.15 and 342.27 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.31 : 820.15 = 342.27 : x
  2. Step 2: Convert to fraction form
    594.31/820.15 = 342.27/x
  3. Step 3: Cross multiply
    594.31x = 820.15 × 342.27
  4. Step 4: Simplify right side
    594.31x = 280,712.74
  5. Step 5: Solve for x
    x = 280,712.74/594.31
  6. Step 6: Final answer
    x = 472.33

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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.