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Finding the Fourth Proportional to 556.36, 767.83 and 416.23

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Solution

The fourth proportional to 556.36, 767.83 and 416.23 is: 574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.36 : 767.83 = 416.23 : x
  2. Step 2: Convert to fraction form
    556.36/767.83 = 416.23/x
  3. Step 3: Cross multiply
    556.36x = 767.83 × 416.23
  4. Step 4: Simplify right side
    556.36x = 319,593.88
  5. Step 5: Solve for x
    x = 319,593.88/556.36
  6. Step 6: Final answer
    x = 574.44

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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.