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Finding the Fourth Proportional to 486.07, 729.41 and 193.52

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Solution

The fourth proportional to 486.07, 729.41 and 193.52 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.07 : 729.41 = 193.52 : x
  2. Step 2: Convert to fraction form
    486.07/729.41 = 193.52/x
  3. Step 3: Cross multiply
    486.07x = 729.41 × 193.52
  4. Step 4: Simplify right side
    486.07x = 141,155.42
  5. Step 5: Solve for x
    x = 141,155.42/486.07
  6. Step 6: Final answer
    x = 290.40

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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.