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Finding the Fourth Proportional to 476.37, 714.27 and 311.64

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Solution

The fourth proportional to 476.37, 714.27 and 311.64 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.37 : 714.27 = 311.64 : x
  2. Step 2: Convert to fraction form
    476.37/714.27 = 311.64/x
  3. Step 3: Cross multiply
    476.37x = 714.27 × 311.64
  4. Step 4: Simplify right side
    476.37x = 222,596.11
  5. Step 5: Solve for x
    x = 222,596.11/476.37
  6. Step 6: Final answer
    x = 467.27

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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.