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Finding the Fourth Proportional to 555.26, 766.13 and 322.38

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Solution

The fourth proportional to 555.26, 766.13 and 322.38 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 766.13 = 322.38 : x
  2. Step 2: Convert to fraction form
    555.26/766.13 = 322.38/x
  3. Step 3: Cross multiply
    555.26x = 766.13 × 322.38
  4. Step 4: Simplify right side
    555.26x = 246,983.38
  5. Step 5: Solve for x
    x = 246,983.38/555.26
  6. Step 6: Final answer
    x = 444.81

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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.