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Finding the Fourth Proportional to 403.13, 603.72 and 197.19

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Solution

The fourth proportional to 403.13, 603.72 and 197.19 is: 295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.13 : 603.72 = 197.19 : x
  2. Step 2: Convert to fraction form
    403.13/603.72 = 197.19/x
  3. Step 3: Cross multiply
    403.13x = 603.72 × 197.19
  4. Step 4: Simplify right side
    403.13x = 119,047.55
  5. Step 5: Solve for x
    x = 119,047.55/403.13
  6. Step 6: Final answer
    x = 295.31

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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.