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Finding the Fourth Proportional to 546.34, 753.42 and 421.80

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Solution

The fourth proportional to 546.34, 753.42 and 421.80 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 753.42 = 421.80 : x
  2. Step 2: Convert to fraction form
    546.34/753.42 = 421.80/x
  3. Step 3: Cross multiply
    546.34x = 753.42 × 421.80
  4. Step 4: Simplify right side
    546.34x = 317,792.56
  5. Step 5: Solve for x
    x = 317,792.56/546.34
  6. Step 6: Final answer
    x = 581.68

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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.