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Finding the Fourth Proportional to 485.99, 728.96 and 197.42

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Solution

The fourth proportional to 485.99, 728.96 and 197.42 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.99 : 728.96 = 197.42 : x
  2. Step 2: Convert to fraction form
    485.99/728.96 = 197.42/x
  3. Step 3: Cross multiply
    485.99x = 728.96 × 197.42
  4. Step 4: Simplify right side
    485.99x = 143,911.58
  5. Step 5: Solve for x
    x = 143,911.58/485.99
  6. Step 6: Final answer
    x = 296.12

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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.