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Finding the Fourth Proportional to 555.09, 766.07 and 306.42

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Solution

The fourth proportional to 555.09, 766.07 and 306.42 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.09 : 766.07 = 306.42 : x
  2. Step 2: Convert to fraction form
    555.09/766.07 = 306.42/x
  3. Step 3: Cross multiply
    555.09x = 766.07 × 306.42
  4. Step 4: Simplify right side
    555.09x = 234,739.17
  5. Step 5: Solve for x
    x = 234,739.17/555.09
  6. Step 6: Final answer
    x = 422.88

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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.