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Finding the Fourth Proportional to 283.89, 391.63 and 214.32

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Solution

The fourth proportional to 283.89, 391.63 and 214.32 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.89 : 391.63 = 214.32 : x
  2. Step 2: Convert to fraction form
    283.89/391.63 = 214.32/x
  3. Step 3: Cross multiply
    283.89x = 391.63 × 214.32
  4. Step 4: Simplify right side
    283.89x = 83,934.14
  5. Step 5: Solve for x
    x = 83,934.14/283.89
  6. Step 6: Final answer
    x = 295.66

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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.