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Finding the Fourth Proportional to 551.53, 759.20 and 476.80

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Solution

The fourth proportional to 551.53, 759.20 and 476.80 is: 656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.53 : 759.20 = 476.80 : x
  2. Step 2: Convert to fraction form
    551.53/759.20 = 476.80/x
  3. Step 3: Cross multiply
    551.53x = 759.20 × 476.80
  4. Step 4: Simplify right side
    551.53x = 361,986.55
  5. Step 5: Solve for x
    x = 361,986.55/551.53
  6. Step 6: Final answer
    x = 656.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.