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Finding the Fourth Proportional to 368.07, 508.17 and 257.82

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Solution

The fourth proportional to 368.07, 508.17 and 257.82 is: 355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.07 : 508.17 = 257.82 : x
  2. Step 2: Convert to fraction form
    368.07/508.17 = 257.82/x
  3. Step 3: Cross multiply
    368.07x = 508.17 × 257.82
  4. Step 4: Simplify right side
    368.07x = 131,016.39
  5. Step 5: Solve for x
    x = 131,016.39/368.07
  6. Step 6: Final answer
    x = 355.96

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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.