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Finding the Fourth Proportional to 615.83, 923.27 and 323.28

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Solution

The fourth proportional to 615.83, 923.27 and 323.28 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 923.27 = 323.28 : x
  2. Step 2: Convert to fraction form
    615.83/923.27 = 323.28/x
  3. Step 3: Cross multiply
    615.83x = 923.27 × 323.28
  4. Step 4: Simplify right side
    615.83x = 298,473.11
  5. Step 5: Solve for x
    x = 298,473.11/615.83
  6. Step 6: Final answer
    x = 484.67

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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.