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Finding the Fourth Proportional to 332.30, 495.06 and 311.34

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Solution

The fourth proportional to 332.30, 495.06 and 311.34 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.30 : 495.06 = 311.34 : x
  2. Step 2: Convert to fraction form
    332.30/495.06 = 311.34/x
  3. Step 3: Cross multiply
    332.30x = 495.06 × 311.34
  4. Step 4: Simplify right side
    332.30x = 154,134.42
  5. Step 5: Solve for x
    x = 154,134.42/332.30
  6. Step 6: Final answer
    x = 463.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.