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Finding the Fourth Proportional to 555.78, 834.20 and 282.06

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Solution

The fourth proportional to 555.78, 834.20 and 282.06 is: 423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.78 : 834.20 = 282.06 : x
  2. Step 2: Convert to fraction form
    555.78/834.20 = 282.06/x
  3. Step 3: Cross multiply
    555.78x = 834.20 × 282.06
  4. Step 4: Simplify right side
    555.78x = 235,293.04
  5. Step 5: Solve for x
    x = 235,293.04/555.78
  6. Step 6: Final answer
    x = 423.36

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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.