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Finding the Fourth Proportional to 556.26, 767.50 and 323.38

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Solution

The fourth proportional to 556.26, 767.50 and 323.38 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.26 : 767.50 = 323.38 : x
  2. Step 2: Convert to fraction form
    556.26/767.50 = 323.38/x
  3. Step 3: Cross multiply
    556.26x = 767.50 × 323.38
  4. Step 4: Simplify right side
    556.26x = 248,194.15
  5. Step 5: Solve for x
    x = 248,194.15/556.26
  6. Step 6: Final answer
    x = 446.18

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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.