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Finding the Fourth Proportional to 257.24, 385.06 and 253.60

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Solution

The fourth proportional to 257.24, 385.06 and 253.60 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 385.06 = 253.60 : x
  2. Step 2: Convert to fraction form
    257.24/385.06 = 253.60/x
  3. Step 3: Cross multiply
    257.24x = 385.06 × 253.60
  4. Step 4: Simplify right side
    257.24x = 97,651.22
  5. Step 5: Solve for x
    x = 97,651.22/257.24
  6. Step 6: Final answer
    x = 379.61

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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.