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Finding the Fourth Proportional to 425.96, 588.36 and 328.90

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Solution

The fourth proportional to 425.96, 588.36 and 328.90 is: 454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.96 : 588.36 = 328.90 : x
  2. Step 2: Convert to fraction form
    425.96/588.36 = 328.90/x
  3. Step 3: Cross multiply
    425.96x = 588.36 × 328.90
  4. Step 4: Simplify right side
    425.96x = 193,511.60
  5. Step 5: Solve for x
    x = 193,511.60/425.96
  6. Step 6: Final answer
    x = 454.30

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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.