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Finding the Fourth Proportional to 403.52, 605.23 and 257.72

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Solution

The fourth proportional to 403.52, 605.23 and 257.72 is: 386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.52 : 605.23 = 257.72 : x
  2. Step 2: Convert to fraction form
    403.52/605.23 = 257.72/x
  3. Step 3: Cross multiply
    403.52x = 605.23 × 257.72
  4. Step 4: Simplify right side
    403.52x = 155,979.88
  5. Step 5: Solve for x
    x = 155,979.88/403.52
  6. Step 6: Final answer
    x = 386.55

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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.