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Finding the Fourth Proportional to 476.62, 712.82 and 294.12

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Solution

The fourth proportional to 476.62, 712.82 and 294.12 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.62 : 712.82 = 294.12 : x
  2. Step 2: Convert to fraction form
    476.62/712.82 = 294.12/x
  3. Step 3: Cross multiply
    476.62x = 712.82 × 294.12
  4. Step 4: Simplify right side
    476.62x = 209,655.35
  5. Step 5: Solve for x
    x = 209,655.35/476.62
  6. Step 6: Final answer
    x = 439.88

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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.