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Finding the Fourth Proportional to 555.63, 766.80 and 306.97

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Solution

The fourth proportional to 555.63, 766.80 and 306.97 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.63 : 766.80 = 306.97 : x
  2. Step 2: Convert to fraction form
    555.63/766.80 = 306.97/x
  3. Step 3: Cross multiply
    555.63x = 766.80 × 306.97
  4. Step 4: Simplify right side
    555.63x = 235,386.99
  5. Step 5: Solve for x
    x = 235,386.99/555.63
  6. Step 6: Final answer
    x = 423.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.