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Finding the Fourth Proportional to 476.06, 714.59 and 271.03

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Solution

The fourth proportional to 476.06, 714.59 and 271.03 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.06 : 714.59 = 271.03 : x
  2. Step 2: Convert to fraction form
    476.06/714.59 = 271.03/x
  3. Step 3: Cross multiply
    476.06x = 714.59 × 271.03
  4. Step 4: Simplify right side
    476.06x = 193,675.33
  5. Step 5: Solve for x
    x = 193,675.33/476.06
  6. Step 6: Final answer
    x = 406.83

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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.