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Finding the Fourth Proportional to 556.53, 835.26 and 361.62

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Solution

The fourth proportional to 556.53, 835.26 and 361.62 is: 542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.53 : 835.26 = 361.62 : x
  2. Step 2: Convert to fraction form
    556.53/835.26 = 361.62/x
  3. Step 3: Cross multiply
    556.53x = 835.26 × 361.62
  4. Step 4: Simplify right side
    556.53x = 302,046.72
  5. Step 5: Solve for x
    x = 302,046.72/556.53
  6. Step 6: Final answer
    x = 542.73

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Why These Related Problems?

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