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Finding the Fourth Proportional to 555.07, 766.02 and 306.41

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Solution

The fourth proportional to 555.07, 766.02 and 306.41 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.07 : 766.02 = 306.41 : x
  2. Step 2: Convert to fraction form
    555.07/766.02 = 306.41/x
  3. Step 3: Cross multiply
    555.07x = 766.02 × 306.41
  4. Step 4: Simplify right side
    555.07x = 234,716.19
  5. Step 5: Solve for x
    x = 234,716.19/555.07
  6. Step 6: Final answer
    x = 422.86

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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.