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Finding the Fourth Proportional to 403.07, 604.61 and 114.50

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Solution

The fourth proportional to 403.07, 604.61 and 114.50 is: 171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.07 : 604.61 = 114.50 : x
  2. Step 2: Convert to fraction form
    403.07/604.61 = 114.50/x
  3. Step 3: Cross multiply
    403.07x = 604.61 × 114.50
  4. Step 4: Simplify right side
    403.07x = 69,227.85
  5. Step 5: Solve for x
    x = 69,227.85/403.07
  6. Step 6: Final answer
    x = 171.75

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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.