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Finding the Fourth Proportional to 476.78, 713.96 and 403.88

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Solution

The fourth proportional to 476.78, 713.96 and 403.88 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 713.96 = 403.88 : x
  2. Step 2: Convert to fraction form
    476.78/713.96 = 403.88/x
  3. Step 3: Cross multiply
    476.78x = 713.96 × 403.88
  4. Step 4: Simplify right side
    476.78x = 288,354.16
  5. Step 5: Solve for x
    x = 288,354.16/476.78
  6. Step 6: Final answer
    x = 604.80

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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.