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Finding the Fourth Proportional to 402.90, 555.87 and 319.75

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Solution

The fourth proportional to 402.90, 555.87 and 319.75 is: 441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.90 : 555.87 = 319.75 : x
  2. Step 2: Convert to fraction form
    402.90/555.87 = 319.75/x
  3. Step 3: Cross multiply
    402.90x = 555.87 × 319.75
  4. Step 4: Simplify right side
    402.90x = 177,739.43
  5. Step 5: Solve for x
    x = 177,739.43/402.90
  6. Step 6: Final answer
    x = 441.15

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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.