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Finding the Fourth Proportional to 615.20, 923.70 and 433.40

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Solution

The fourth proportional to 615.20, 923.70 and 433.40 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.20 : 923.70 = 433.40 : x
  2. Step 2: Convert to fraction form
    615.20/923.70 = 433.40/x
  3. Step 3: Cross multiply
    615.20x = 923.70 × 433.40
  4. Step 4: Simplify right side
    615.20x = 400,331.58
  5. Step 5: Solve for x
    x = 400,331.58/615.20
  6. Step 6: Final answer
    x = 650.73

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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.