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Finding the Fourth Proportional to 403.97, 604.49 and 345.45

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Solution

The fourth proportional to 403.97, 604.49 and 345.45 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 604.49 = 345.45 : x
  2. Step 2: Convert to fraction form
    403.97/604.49 = 345.45/x
  3. Step 3: Cross multiply
    403.97x = 604.49 × 345.45
  4. Step 4: Simplify right side
    403.97x = 208,816.32
  5. Step 5: Solve for x
    x = 208,816.32/403.97
  6. Step 6: Final answer
    x = 516.91

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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.