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Finding the Fourth Proportional to 546.57, 754.26 and 313.70

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Solution

The fourth proportional to 546.57, 754.26 and 313.70 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 754.26 = 313.70 : x
  2. Step 2: Convert to fraction form
    546.57/754.26 = 313.70/x
  3. Step 3: Cross multiply
    546.57x = 754.26 × 313.70
  4. Step 4: Simplify right side
    546.57x = 236,607.59
  5. Step 5: Solve for x
    x = 236,607.59/546.57
  6. Step 6: Final answer
    x = 432.90

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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.