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Finding the Fourth Proportional to 546.71, 754.46 and 313.83

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Solution

The fourth proportional to 546.71, 754.46 and 313.83 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.71 : 754.46 = 313.83 : x
  2. Step 2: Convert to fraction form
    546.71/754.46 = 313.83/x
  3. Step 3: Cross multiply
    546.71x = 754.46 × 313.83
  4. Step 4: Simplify right side
    546.71x = 236,772.18
  5. Step 5: Solve for x
    x = 236,772.18/546.71
  6. Step 6: Final answer
    x = 433.09

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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.