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Finding the Fourth Proportional to 403.39, 604.81 and 259.93

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Solution

The fourth proportional to 403.39, 604.81 and 259.93 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.39 : 604.81 = 259.93 : x
  2. Step 2: Convert to fraction form
    403.39/604.81 = 259.93/x
  3. Step 3: Cross multiply
    403.39x = 604.81 × 259.93
  4. Step 4: Simplify right side
    403.39x = 157,208.26
  5. Step 5: Solve for x
    x = 157,208.26/403.39
  6. Step 6: Final answer
    x = 389.72

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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.