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Finding the Fourth Proportional to 594.51, 820.39 and 328.94

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Solution

The fourth proportional to 594.51, 820.39 and 328.94 is: 453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.51 : 820.39 = 328.94 : x
  2. Step 2: Convert to fraction form
    594.51/820.39 = 328.94/x
  3. Step 3: Cross multiply
    594.51x = 820.39 × 328.94
  4. Step 4: Simplify right side
    594.51x = 269,858.47
  5. Step 5: Solve for x
    x = 269,858.47/594.51
  6. Step 6: Final answer
    x = 453.92

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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.