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Finding the Fourth Proportional to 486.54, 729.81 and 243.14

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Solution

The fourth proportional to 486.54, 729.81 and 243.14 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 729.81 = 243.14 : x
  2. Step 2: Convert to fraction form
    486.54/729.81 = 243.14/x
  3. Step 3: Cross multiply
    486.54x = 729.81 × 243.14
  4. Step 4: Simplify right side
    486.54x = 177,442.35
  5. Step 5: Solve for x
    x = 177,442.35/486.54
  6. Step 6: Final answer
    x = 364.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.