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Finding the Fourth Proportional to 534.85, 796.96 and 476.63

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Solution

The fourth proportional to 534.85, 796.96 and 476.63 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.85 : 796.96 = 476.63 : x
  2. Step 2: Convert to fraction form
    534.85/796.96 = 476.63/x
  3. Step 3: Cross multiply
    534.85x = 796.96 × 476.63
  4. Step 4: Simplify right side
    534.85x = 379,855.04
  5. Step 5: Solve for x
    x = 379,855.04/534.85
  6. Step 6: Final answer
    x = 710.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.