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Finding the Fourth Proportional to 368.67, 508.68 and 257.97

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Solution

The fourth proportional to 368.67, 508.68 and 257.97 is: 355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.67 : 508.68 = 257.97 : x
  2. Step 2: Convert to fraction form
    368.67/508.68 = 257.97/x
  3. Step 3: Cross multiply
    368.67x = 508.68 × 257.97
  4. Step 4: Simplify right side
    368.67x = 131,224.18
  5. Step 5: Solve for x
    x = 131,224.18/368.67
  6. Step 6: Final answer
    x = 355.94

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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.