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Finding the Fourth Proportional to 594.71, 820.69 and 329.16

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Solution

The fourth proportional to 594.71, 820.69 and 329.16 is: 454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.71 : 820.69 = 329.16 : x
  2. Step 2: Convert to fraction form
    594.71/820.69 = 329.16/x
  3. Step 3: Cross multiply
    594.71x = 820.69 × 329.16
  4. Step 4: Simplify right side
    594.71x = 270,140.96
  5. Step 5: Solve for x
    x = 270,140.96/594.71
  6. Step 6: Final answer
    x = 454.24

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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.