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Finding the Fourth Proportional to 546.84, 754.71 and 313.96

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Solution

The fourth proportional to 546.84, 754.71 and 313.96 is: 433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.84 : 754.71 = 313.96 : x
  2. Step 2: Convert to fraction form
    546.84/754.71 = 313.96/x
  3. Step 3: Cross multiply
    546.84x = 754.71 × 313.96
  4. Step 4: Simplify right side
    546.84x = 236,947.18
  5. Step 5: Solve for x
    x = 236,947.18/546.84
  6. Step 6: Final answer
    x = 433.31

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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.