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Finding the Fourth Proportional to 546.75, 818.30 and 409.46

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Solution

The fourth proportional to 546.75, 818.30 and 409.46 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 818.30 = 409.46 : x
  2. Step 2: Convert to fraction form
    546.75/818.30 = 409.46/x
  3. Step 3: Cross multiply
    546.75x = 818.30 × 409.46
  4. Step 4: Simplify right side
    546.75x = 335,058.05
  5. Step 5: Solve for x
    x = 335,058.05/546.75
  6. Step 6: Final answer
    x = 612.82

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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.