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Finding the Fourth Proportional to 369.71, 509.96 and 257.49

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Solution

The fourth proportional to 369.71, 509.96 and 257.49 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.71 : 509.96 = 257.49 : x
  2. Step 2: Convert to fraction form
    369.71/509.96 = 257.49/x
  3. Step 3: Cross multiply
    369.71x = 509.96 × 257.49
  4. Step 4: Simplify right side
    369.71x = 131,308.31
  5. Step 5: Solve for x
    x = 131,308.31/369.71
  6. Step 6: Final answer
    x = 355.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.