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Finding the Fourth Proportional to 546.01, 814.04 and 484.45

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Solution

The fourth proportional to 546.01, 814.04 and 484.45 is: 722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.01 : 814.04 = 484.45 : x
  2. Step 2: Convert to fraction form
    546.01/814.04 = 484.45/x
  3. Step 3: Cross multiply
    546.01x = 814.04 × 484.45
  4. Step 4: Simplify right side
    546.01x = 394,360.85
  5. Step 5: Solve for x
    x = 394,360.85/546.01
  6. Step 6: Final answer
    x = 722.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.