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Finding the Fourth Proportional to 555.13, 765.99 and 319.09

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Solution

The fourth proportional to 555.13, 765.99 and 319.09 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.13 : 765.99 = 319.09 : x
  2. Step 2: Convert to fraction form
    555.13/765.99 = 319.09/x
  3. Step 3: Cross multiply
    555.13x = 765.99 × 319.09
  4. Step 4: Simplify right side
    555.13x = 244,419.27
  5. Step 5: Solve for x
    x = 244,419.27/555.13
  6. Step 6: Final answer
    x = 440.29

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Why These Related Problems?

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