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Finding the Fourth Proportional to 546.44, 818.04 and 502.16

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Solution

The fourth proportional to 546.44, 818.04 and 502.16 is: 751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 818.04 = 502.16 : x
  2. Step 2: Convert to fraction form
    546.44/818.04 = 502.16/x
  3. Step 3: Cross multiply
    546.44x = 818.04 × 502.16
  4. Step 4: Simplify right side
    546.44x = 410,786.97
  5. Step 5: Solve for x
    x = 410,786.97/546.44
  6. Step 6: Final answer
    x = 751.75

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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.