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Finding the Fourth Proportional to 546.30, 753.83 and 310.22

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Solution

The fourth proportional to 546.30, 753.83 and 310.22 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 753.83 = 310.22 : x
  2. Step 2: Convert to fraction form
    546.30/753.83 = 310.22/x
  3. Step 3: Cross multiply
    546.30x = 753.83 × 310.22
  4. Step 4: Simplify right side
    546.30x = 233,847.82
  5. Step 5: Solve for x
    x = 233,847.82/546.30
  6. Step 6: Final answer
    x = 428.06

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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.