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Finding the Fourth Proportional to 379.90, 524.17 and 230.48

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Solution

The fourth proportional to 379.90, 524.17 and 230.48 is: 318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.90 : 524.17 = 230.48 : x
  2. Step 2: Convert to fraction form
    379.90/524.17 = 230.48/x
  3. Step 3: Cross multiply
    379.90x = 524.17 × 230.48
  4. Step 4: Simplify right side
    379.90x = 120,810.70
  5. Step 5: Solve for x
    x = 120,810.70/379.90
  6. Step 6: Final answer
    x = 318.01

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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.