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Finding the Fourth Proportional to 559.30, 834 and 541.48

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Solution

The fourth proportional to 559.30, 834 and 541.48 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 834 = 541.48 : x
  2. Step 2: Convert to fraction form
    559.30/834 = 541.48/x
  3. Step 3: Cross multiply
    559.30x = 834 × 541.48
  4. Step 4: Simplify right side
    559.30x = 451,594.32
  5. Step 5: Solve for x
    x = 451,594.32/559.30
  6. Step 6: Final answer
    x = 807.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.