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Finding the Fourth Proportional to 486.35, 729.51 and 193.84

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Solution

The fourth proportional to 486.35, 729.51 and 193.84 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.35 : 729.51 = 193.84 : x
  2. Step 2: Convert to fraction form
    486.35/729.51 = 193.84/x
  3. Step 3: Cross multiply
    486.35x = 729.51 × 193.84
  4. Step 4: Simplify right side
    486.35x = 141,409.13
  5. Step 5: Solve for x
    x = 141,409.13/486.35
  6. Step 6: Final answer
    x = 290.75

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