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Finding the Fourth Proportional to 555.29, 766.26 and 319.26

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Solution

The fourth proportional to 555.29, 766.26 and 319.26 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.29 : 766.26 = 319.26 : x
  2. Step 2: Convert to fraction form
    555.29/766.26 = 319.26/x
  3. Step 3: Cross multiply
    555.29x = 766.26 × 319.26
  4. Step 4: Simplify right side
    555.29x = 244,636.17
  5. Step 5: Solve for x
    x = 244,636.17/555.29
  6. Step 6: Final answer
    x = 440.56

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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.