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Finding the Fourth Proportional to 615.62, 923.34 and 204.77

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Solution

The fourth proportional to 615.62, 923.34 and 204.77 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.62 : 923.34 = 204.77 : x
  2. Step 2: Convert to fraction form
    615.62/923.34 = 204.77/x
  3. Step 3: Cross multiply
    615.62x = 923.34 × 204.77
  4. Step 4: Simplify right side
    615.62x = 189,072.33
  5. Step 5: Solve for x
    x = 189,072.33/615.62
  6. Step 6: Final answer
    x = 307.13

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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.