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Finding the Fourth Proportional to 476.20, 714.34 and 187.84

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Solution

The fourth proportional to 476.20, 714.34 and 187.84 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.20 : 714.34 = 187.84 : x
  2. Step 2: Convert to fraction form
    476.20/714.34 = 187.84/x
  3. Step 3: Cross multiply
    476.20x = 714.34 × 187.84
  4. Step 4: Simplify right side
    476.20x = 134,181.63
  5. Step 5: Solve for x
    x = 134,181.63/476.20
  6. Step 6: Final answer
    x = 281.78

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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.