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Finding the Fourth Proportional to 476.36, 713.58 and 379.02

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Solution

The fourth proportional to 476.36, 713.58 and 379.02 is: 567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 713.58 = 379.02 : x
  2. Step 2: Convert to fraction form
    476.36/713.58 = 379.02/x
  3. Step 3: Cross multiply
    476.36x = 713.58 × 379.02
  4. Step 4: Simplify right side
    476.36x = 270,461.09
  5. Step 5: Solve for x
    x = 270,461.09/476.36
  6. Step 6: Final answer
    x = 567.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.