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Finding the Fourth Proportional to 551.01, 759.60 and 419.79

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Solution

The fourth proportional to 551.01, 759.60 and 419.79 is: 578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.01 : 759.60 = 419.79 : x
  2. Step 2: Convert to fraction form
    551.01/759.60 = 419.79/x
  3. Step 3: Cross multiply
    551.01x = 759.60 × 419.79
  4. Step 4: Simplify right side
    551.01x = 318,872.48
  5. Step 5: Solve for x
    x = 318,872.48/551.01
  6. Step 6: Final answer
    x = 578.71

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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.