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Finding the Fourth Proportional to 486.52, 729.49 and 194.07

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Solution

The fourth proportional to 486.52, 729.49 and 194.07 is: 290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.52 : 729.49 = 194.07 : x
  2. Step 2: Convert to fraction form
    486.52/729.49 = 194.07/x
  3. Step 3: Cross multiply
    486.52x = 729.49 × 194.07
  4. Step 4: Simplify right side
    486.52x = 141,568.90
  5. Step 5: Solve for x
    x = 141,568.90/486.52
  6. Step 6: Final answer
    x = 290.98

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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.