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Finding the Fourth Proportional to 546.74, 818.04 and 303.44

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Solution

The fourth proportional to 546.74, 818.04 and 303.44 is: 454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 818.04 = 303.44 : x
  2. Step 2: Convert to fraction form
    546.74/818.04 = 303.44/x
  3. Step 3: Cross multiply
    546.74x = 818.04 × 303.44
  4. Step 4: Simplify right side
    546.74x = 248,221.97
  5. Step 5: Solve for x
    x = 248,221.97/546.74
  6. Step 6: Final answer
    x = 454.01

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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.