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Finding the Fourth Proportional to 389.40, 537.36 and 214.74

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Solution

The fourth proportional to 389.40, 537.36 and 214.74 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.40 : 537.36 = 214.74 : x
  2. Step 2: Convert to fraction form
    389.40/537.36 = 214.74/x
  3. Step 3: Cross multiply
    389.40x = 537.36 × 214.74
  4. Step 4: Simplify right side
    389.40x = 115,391.88
  5. Step 5: Solve for x
    x = 115,391.88/389.40
  6. Step 6: Final answer
    x = 296.34

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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.