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Finding the Fourth Proportional to 551.68, 760.46 and 418.97

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Solution

The fourth proportional to 551.68, 760.46 and 418.97 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.68 : 760.46 = 418.97 : x
  2. Step 2: Convert to fraction form
    551.68/760.46 = 418.97/x
  3. Step 3: Cross multiply
    551.68x = 760.46 × 418.97
  4. Step 4: Simplify right side
    551.68x = 318,609.73
  5. Step 5: Solve for x
    x = 318,609.73/551.68
  6. Step 6: Final answer
    x = 577.53

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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.