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Finding the Fourth Proportional to 555.20, 832.81 and 464.54

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Solution

The fourth proportional to 555.20, 832.81 and 464.54 is: 696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 832.81 = 464.54 : x
  2. Step 2: Convert to fraction form
    555.20/832.81 = 464.54/x
  3. Step 3: Cross multiply
    555.20x = 832.81 × 464.54
  4. Step 4: Simplify right side
    555.20x = 386,867.80
  5. Step 5: Solve for x
    x = 386,867.80/555.20
  6. Step 6: Final answer
    x = 696.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.