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Finding the Fourth Proportional to 546.37, 754.16 and 406.44

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Solution

The fourth proportional to 546.37, 754.16 and 406.44 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.37 : 754.16 = 406.44 : x
  2. Step 2: Convert to fraction form
    546.37/754.16 = 406.44/x
  3. Step 3: Cross multiply
    546.37x = 754.16 × 406.44
  4. Step 4: Simplify right side
    546.37x = 306,520.79
  5. Step 5: Solve for x
    x = 306,520.79/546.37
  6. Step 6: Final answer
    x = 561.01

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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.