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Finding the Fourth Proportional to 613.82, 920.48 and 248.51

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Solution

The fourth proportional to 613.82, 920.48 and 248.51 is: 372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.82 : 920.48 = 248.51 : x
  2. Step 2: Convert to fraction form
    613.82/920.48 = 248.51/x
  3. Step 3: Cross multiply
    613.82x = 920.48 × 248.51
  4. Step 4: Simplify right side
    613.82x = 228,748.48
  5. Step 5: Solve for x
    x = 228,748.48/613.82
  6. Step 6: Final answer
    x = 372.66

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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.