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Finding the Fourth Proportional to 521.88, 721.08 and 423.46

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Solution

The fourth proportional to 521.88, 721.08 and 423.46 is: 585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 721.08 = 423.46 : x
  2. Step 2: Convert to fraction form
    521.88/721.08 = 423.46/x
  3. Step 3: Cross multiply
    521.88x = 721.08 × 423.46
  4. Step 4: Simplify right side
    521.88x = 305,348.54
  5. Step 5: Solve for x
    x = 305,348.54/521.88
  6. Step 6: Final answer
    x = 585.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.