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Finding the Fourth Proportional to 546.28, 753.92 and 310.26

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Solution

The fourth proportional to 546.28, 753.92 and 310.26 is: 428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.28 : 753.92 = 310.26 : x
  2. Step 2: Convert to fraction form
    546.28/753.92 = 310.26/x
  3. Step 3: Cross multiply
    546.28x = 753.92 × 310.26
  4. Step 4: Simplify right side
    546.28x = 233,911.22
  5. Step 5: Solve for x
    x = 233,911.22/546.28
  6. Step 6: Final answer
    x = 428.19

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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.