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Finding the Fourth Proportional to 476.46, 714.83 and 281.64

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Solution

The fourth proportional to 476.46, 714.83 and 281.64 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.46 : 714.83 = 281.64 : x
  2. Step 2: Convert to fraction form
    476.46/714.83 = 281.64/x
  3. Step 3: Cross multiply
    476.46x = 714.83 × 281.64
  4. Step 4: Simplify right side
    476.46x = 201,324.72
  5. Step 5: Solve for x
    x = 201,324.72/476.46
  6. Step 6: Final answer
    x = 422.54

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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.