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Finding the Fourth Proportional to 344.82, 515.64 and 257.13

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Solution

The fourth proportional to 344.82, 515.64 and 257.13 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.82 : 515.64 = 257.13 : x
  2. Step 2: Convert to fraction form
    344.82/515.64 = 257.13/x
  3. Step 3: Cross multiply
    344.82x = 515.64 × 257.13
  4. Step 4: Simplify right side
    344.82x = 132,586.51
  5. Step 5: Solve for x
    x = 132,586.51/344.82
  6. Step 6: Final answer
    x = 384.51

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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.