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Finding the Fourth Proportional to 403.52, 605.64 and 259.40

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Solution

The fourth proportional to 403.52, 605.64 and 259.40 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.52 : 605.64 = 259.40 : x
  2. Step 2: Convert to fraction form
    403.52/605.64 = 259.40/x
  3. Step 3: Cross multiply
    403.52x = 605.64 × 259.40
  4. Step 4: Simplify right side
    403.52x = 157,103.02
  5. Step 5: Solve for x
    x = 157,103.02/403.52
  6. Step 6: Final answer
    x = 389.33

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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.