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Finding the Fourth Proportional to 555.98, 834.47 and 282.26

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Solution

The fourth proportional to 555.98, 834.47 and 282.26 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.98 : 834.47 = 282.26 : x
  2. Step 2: Convert to fraction form
    555.98/834.47 = 282.26/x
  3. Step 3: Cross multiply
    555.98x = 834.47 × 282.26
  4. Step 4: Simplify right side
    555.98x = 235,534.04
  5. Step 5: Solve for x
    x = 235,534.04/555.98
  6. Step 6: Final answer
    x = 423.64

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Why These Related Problems?

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