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Finding the Fourth Proportional to 476.97, 713.83 and 400.02

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Solution

The fourth proportional to 476.97, 713.83 and 400.02 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.97 : 713.83 = 400.02 : x
  2. Step 2: Convert to fraction form
    476.97/713.83 = 400.02/x
  3. Step 3: Cross multiply
    476.97x = 713.83 × 400.02
  4. Step 4: Simplify right side
    476.97x = 285,542.60
  5. Step 5: Solve for x
    x = 285,542.60/476.97
  6. Step 6: Final answer
    x = 598.66

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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.