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Finding the Fourth Proportional to 546.16, 753.64 and 310.09

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Solution

The fourth proportional to 546.16, 753.64 and 310.09 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 753.64 = 310.09 : x
  2. Step 2: Convert to fraction form
    546.16/753.64 = 310.09/x
  3. Step 3: Cross multiply
    546.16x = 753.64 × 310.09
  4. Step 4: Simplify right side
    546.16x = 233,694.68
  5. Step 5: Solve for x
    x = 233,694.68/546.16
  6. Step 6: Final answer
    x = 427.89

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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.