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Finding the Fourth Proportional to 476.62, 713.16 and 412.36

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Solution

The fourth proportional to 476.62, 713.16 and 412.36 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.62 : 713.16 = 412.36 : x
  2. Step 2: Convert to fraction form
    476.62/713.16 = 412.36/x
  3. Step 3: Cross multiply
    476.62x = 713.16 × 412.36
  4. Step 4: Simplify right side
    476.62x = 294,078.66
  5. Step 5: Solve for x
    x = 294,078.66/476.62
  6. Step 6: Final answer
    x = 617.01

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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.