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Finding the Fourth Proportional to 556.13, 768.42 and 536.42

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Solution

The fourth proportional to 556.13, 768.42 and 536.42 is: 741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.13 : 768.42 = 536.42 : x
  2. Step 2: Convert to fraction form
    556.13/768.42 = 536.42/x
  3. Step 3: Cross multiply
    556.13x = 768.42 × 536.42
  4. Step 4: Simplify right side
    556.13x = 412,197.78
  5. Step 5: Solve for x
    x = 412,197.78/556.13
  6. Step 6: Final answer
    x = 741.19

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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.