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Finding the Fourth Proportional to 615.78, 923.78 and 204.93

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Solution

The fourth proportional to 615.78, 923.78 and 204.93 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 923.78 = 204.93 : x
  2. Step 2: Convert to fraction form
    615.78/923.78 = 204.93/x
  3. Step 3: Cross multiply
    615.78x = 923.78 × 204.93
  4. Step 4: Simplify right side
    615.78x = 189,309.21
  5. Step 5: Solve for x
    x = 189,309.21/615.78
  6. Step 6: Final answer
    x = 307.43

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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.