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Finding the Fourth Proportional to 546.60, 754.46 and 347.46

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Solution

The fourth proportional to 546.60, 754.46 and 347.46 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 754.46 = 347.46 : x
  2. Step 2: Convert to fraction form
    546.60/754.46 = 347.46/x
  3. Step 3: Cross multiply
    546.60x = 754.46 × 347.46
  4. Step 4: Simplify right side
    546.60x = 262,144.67
  5. Step 5: Solve for x
    x = 262,144.67/546.60
  6. Step 6: Final answer
    x = 479.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.