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Finding the Fourth Proportional to 427.29, 590.00 and 287.43

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Solution

The fourth proportional to 427.29, 590.00 and 287.43 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.29 : 590.00 = 287.43 : x
  2. Step 2: Convert to fraction form
    427.29/590.00 = 287.43/x
  3. Step 3: Cross multiply
    427.29x = 590.00 × 287.43
  4. Step 4: Simplify right side
    427.29x = 169,582.26
  5. Step 5: Solve for x
    x = 169,582.26/427.29
  6. Step 6: Final answer
    x = 396.88

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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.