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Finding the Fourth Proportional to 559.48, 772.27 and 346.96

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Solution

The fourth proportional to 559.48, 772.27 and 346.96 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 772.27 = 346.96 : x
  2. Step 2: Convert to fraction form
    559.48/772.27 = 346.96/x
  3. Step 3: Cross multiply
    559.48x = 772.27 × 346.96
  4. Step 4: Simplify right side
    559.48x = 267,942.94
  5. Step 5: Solve for x
    x = 267,942.94/559.48
  6. Step 6: Final answer
    x = 478.92

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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.