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Finding the Fourth Proportional to 546.68, 754.08 and 339.68

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Solution

The fourth proportional to 546.68, 754.08 and 339.68 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 754.08 = 339.68 : x
  2. Step 2: Convert to fraction form
    546.68/754.08 = 339.68/x
  3. Step 3: Cross multiply
    546.68x = 754.08 × 339.68
  4. Step 4: Simplify right side
    546.68x = 256,145.89
  5. Step 5: Solve for x
    x = 256,145.89/546.68
  6. Step 6: Final answer
    x = 468.55

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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.