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Finding the Fourth Proportional to 546.40, 753.26 and 369.06

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Solution

The fourth proportional to 546.40, 753.26 and 369.06 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 753.26 = 369.06 : x
  2. Step 2: Convert to fraction form
    546.40/753.26 = 369.06/x
  3. Step 3: Cross multiply
    546.40x = 753.26 × 369.06
  4. Step 4: Simplify right side
    546.40x = 277,998.14
  5. Step 5: Solve for x
    x = 277,998.14/546.40
  6. Step 6: Final answer
    x = 508.78

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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.