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Finding the Fourth Proportional to 379.79, 524.12 and 214.00

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Solution

The fourth proportional to 379.79, 524.12 and 214.00 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 524.12 = 214.00 : x
  2. Step 2: Convert to fraction form
    379.79/524.12 = 214.00/x
  3. Step 3: Cross multiply
    379.79x = 524.12 × 214.00
  4. Step 4: Simplify right side
    379.79x = 112,161.92
  5. Step 5: Solve for x
    x = 112,161.92/379.79
  6. Step 6: Final answer
    x = 295.33

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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.