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Finding the Fourth Proportional to 427.64, 590.09 and 279.99

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Solution

The fourth proportional to 427.64, 590.09 and 279.99 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 590.09 = 279.99 : x
  2. Step 2: Convert to fraction form
    427.64/590.09 = 279.99/x
  3. Step 3: Cross multiply
    427.64x = 590.09 × 279.99
  4. Step 4: Simplify right side
    427.64x = 165,217.90
  5. Step 5: Solve for x
    x = 165,217.90/427.64
  6. Step 6: Final answer
    x = 386.35

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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.