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Finding the Fourth Proportional to 546.47, 754.06 and 325.37

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Solution

The fourth proportional to 546.47, 754.06 and 325.37 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 754.06 = 325.37 : x
  2. Step 2: Convert to fraction form
    546.47/754.06 = 325.37/x
  3. Step 3: Cross multiply
    546.47x = 754.06 × 325.37
  4. Step 4: Simplify right side
    546.47x = 245,350.71
  5. Step 5: Solve for x
    x = 245,350.71/546.47
  6. Step 6: Final answer
    x = 448.98

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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.