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Finding the Fourth Proportional to 486.06, 728.92 and 193.63

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Solution

The fourth proportional to 486.06, 728.92 and 193.63 is: 290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 728.92 = 193.63 : x
  2. Step 2: Convert to fraction form
    486.06/728.92 = 193.63/x
  3. Step 3: Cross multiply
    486.06x = 728.92 × 193.63
  4. Step 4: Simplify right side
    486.06x = 141,139.81
  5. Step 5: Solve for x
    x = 141,139.81/486.06
  6. Step 6: Final answer
    x = 290.38

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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.