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Finding the Fourth Proportional to 546.14, 753.82 and 369.02

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Solution

The fourth proportional to 546.14, 753.82 and 369.02 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 753.82 = 369.02 : x
  2. Step 2: Convert to fraction form
    546.14/753.82 = 369.02/x
  3. Step 3: Cross multiply
    546.14x = 753.82 × 369.02
  4. Step 4: Simplify right side
    546.14x = 278,174.66
  5. Step 5: Solve for x
    x = 278,174.66/546.14
  6. Step 6: Final answer
    x = 509.35

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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.