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Finding the Fourth Proportional to 402.71, 555.48 and 319.69

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Solution

The fourth proportional to 402.71, 555.48 and 319.69 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.71 : 555.48 = 319.69 : x
  2. Step 2: Convert to fraction form
    402.71/555.48 = 319.69/x
  3. Step 3: Cross multiply
    402.71x = 555.48 × 319.69
  4. Step 4: Simplify right side
    402.71x = 177,580.01
  5. Step 5: Solve for x
    x = 177,580.01/402.71
  6. Step 6: Final answer
    x = 440.96

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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.