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Finding the Fourth Proportional to 389.84, 537.94 and 224

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Solution

The fourth proportional to 389.84, 537.94 and 224 is: 309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 537.94 = 224 : x
  2. Step 2: Convert to fraction form
    389.84/537.94 = 224/x
  3. Step 3: Cross multiply
    389.84x = 537.94 × 224
  4. Step 4: Simplify right side
    389.84x = 120,498.56
  5. Step 5: Solve for x
    x = 120,498.56/389.84
  6. Step 6: Final answer
    x = 309.10

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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.