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Finding the Fourth Proportional to 546.36, 754.00 and 310.32

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Solution

The fourth proportional to 546.36, 754.00 and 310.32 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 754.00 = 310.32 : x
  2. Step 2: Convert to fraction form
    546.36/754.00 = 310.32/x
  3. Step 3: Cross multiply
    546.36x = 754.00 × 310.32
  4. Step 4: Simplify right side
    546.36x = 233,980.50
  5. Step 5: Solve for x
    x = 233,980.50/546.36
  6. Step 6: Final answer
    x = 428.25

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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.