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Finding the Fourth Proportional to 546.27, 753.73 and 325.07

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Solution

The fourth proportional to 546.27, 753.73 and 325.07 is: 448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 753.73 = 325.07 : x
  2. Step 2: Convert to fraction form
    546.27/753.73 = 325.07/x
  3. Step 3: Cross multiply
    546.27x = 753.73 × 325.07
  4. Step 4: Simplify right side
    546.27x = 245,015.01
  5. Step 5: Solve for x
    x = 245,015.01/546.27
  6. Step 6: Final answer
    x = 448.52

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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.