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Finding the Fourth Proportional to 403.13, 604.69 and 146.63

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Solution

The fourth proportional to 403.13, 604.69 and 146.63 is: 219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.13 : 604.69 = 146.63 : x
  2. Step 2: Convert to fraction form
    403.13/604.69 = 146.63/x
  3. Step 3: Cross multiply
    403.13x = 604.69 × 146.63
  4. Step 4: Simplify right side
    403.13x = 88,662.30
  5. Step 5: Solve for x
    x = 88,662.30/403.13
  6. Step 6: Final answer
    x = 219.94

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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.