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Finding the Fourth Proportional to 380.16, 524.25 and 248.94

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Solution

The fourth proportional to 380.16, 524.25 and 248.94 is: 343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 524.25 = 248.94 : x
  2. Step 2: Convert to fraction form
    380.16/524.25 = 248.94/x
  3. Step 3: Cross multiply
    380.16x = 524.25 × 248.94
  4. Step 4: Simplify right side
    380.16x = 130,506.80
  5. Step 5: Solve for x
    x = 130,506.80/380.16
  6. Step 6: Final answer
    x = 343.29

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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.