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Finding the Fourth Proportional to 476.49, 714.56 and 216.27

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Solution

The fourth proportional to 476.49, 714.56 and 216.27 is: 324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.49 : 714.56 = 216.27 : x
  2. Step 2: Convert to fraction form
    476.49/714.56 = 216.27/x
  3. Step 3: Cross multiply
    476.49x = 714.56 × 216.27
  4. Step 4: Simplify right side
    476.49x = 154,535.56
  5. Step 5: Solve for x
    x = 154,535.56/476.49
  6. Step 6: Final answer
    x = 324.32

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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.