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Finding the Fourth Proportional to 615.81, 923.85 and 204.93

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Solution

The fourth proportional to 615.81, 923.85 and 204.93 is: 307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.81 : 923.85 = 204.93 : x
  2. Step 2: Convert to fraction form
    615.81/923.85 = 204.93/x
  3. Step 3: Cross multiply
    615.81x = 923.85 × 204.93
  4. Step 4: Simplify right side
    615.81x = 189,324.58
  5. Step 5: Solve for x
    x = 189,324.58/615.81
  6. Step 6: Final answer
    x = 307.44

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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.