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Finding the Fourth Proportional to 615.14, 923.20 and 409.68

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Solution

The fourth proportional to 615.14, 923.20 and 409.68 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.14 : 923.20 = 409.68 : x
  2. Step 2: Convert to fraction form
    615.14/923.20 = 409.68/x
  3. Step 3: Cross multiply
    615.14x = 923.20 × 409.68
  4. Step 4: Simplify right side
    615.14x = 378,216.58
  5. Step 5: Solve for x
    x = 378,216.58/615.14
  6. Step 6: Final answer
    x = 614.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.