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Finding the Fourth Proportional to 594.69, 820.65 and 329.12

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Solution

The fourth proportional to 594.69, 820.65 and 329.12 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.69 : 820.65 = 329.12 : x
  2. Step 2: Convert to fraction form
    594.69/820.65 = 329.12/x
  3. Step 3: Cross multiply
    594.69x = 820.65 × 329.12
  4. Step 4: Simplify right side
    594.69x = 270,097.15
  5. Step 5: Solve for x
    x = 270,097.15/594.69
  6. Step 6: Final answer
    x = 454.18

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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.