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Finding the Fourth Proportional to 297.87, 410.56 and 214.84

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Solution

The fourth proportional to 297.87, 410.56 and 214.84 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 410.56 = 214.84 : x
  2. Step 2: Convert to fraction form
    297.87/410.56 = 214.84/x
  3. Step 3: Cross multiply
    297.87x = 410.56 × 214.84
  4. Step 4: Simplify right side
    297.87x = 88,204.71
  5. Step 5: Solve for x
    x = 88,204.71/297.87
  6. Step 6: Final answer
    x = 296.12

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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.