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Finding the Fourth Proportional to 546.63, 754.61 and 514.23

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Solution

The fourth proportional to 546.63, 754.61 and 514.23 is: 709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.63 : 754.61 = 514.23 : x
  2. Step 2: Convert to fraction form
    546.63/754.61 = 514.23/x
  3. Step 3: Cross multiply
    546.63x = 754.61 × 514.23
  4. Step 4: Simplify right side
    546.63x = 388,043.10
  5. Step 5: Solve for x
    x = 388,043.10/546.63
  6. Step 6: Final answer
    x = 709.88

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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.