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Finding the Fourth Proportional to 615.09, 922.32 and 204.08

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Solution

The fourth proportional to 615.09, 922.32 and 204.08 is: 306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.09 : 922.32 = 204.08 : x
  2. Step 2: Convert to fraction form
    615.09/922.32 = 204.08/x
  3. Step 3: Cross multiply
    615.09x = 922.32 × 204.08
  4. Step 4: Simplify right side
    615.09x = 188,227.07
  5. Step 5: Solve for x
    x = 188,227.07/615.09
  6. Step 6: Final answer
    x = 306.02

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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.