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Finding the Fourth Proportional to 555.20, 766.16 and 306.54

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Solution

The fourth proportional to 555.20, 766.16 and 306.54 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 766.16 = 306.54 : x
  2. Step 2: Convert to fraction form
    555.20/766.16 = 306.54/x
  3. Step 3: Cross multiply
    555.20x = 766.16 × 306.54
  4. Step 4: Simplify right side
    555.20x = 234,860.03
  5. Step 5: Solve for x
    x = 234,860.03/555.20
  6. Step 6: Final answer
    x = 423.02

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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.