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Finding the Fourth Proportional to 546.34, 749.62 and 532.54

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Solution

The fourth proportional to 546.34, 749.62 and 532.54 is: 730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 749.62 = 532.54 : x
  2. Step 2: Convert to fraction form
    546.34/749.62 = 532.54/x
  3. Step 3: Cross multiply
    546.34x = 749.62 × 532.54
  4. Step 4: Simplify right side
    546.34x = 399,202.63
  5. Step 5: Solve for x
    x = 399,202.63/546.34
  6. Step 6: Final answer
    x = 730.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.