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Finding the Fourth Proportional to 556.52, 767.82 and 323.60

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Solution

The fourth proportional to 556.52, 767.82 and 323.60 is: 446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.52 : 767.82 = 323.60 : x
  2. Step 2: Convert to fraction form
    556.52/767.82 = 323.60/x
  3. Step 3: Cross multiply
    556.52x = 767.82 × 323.60
  4. Step 4: Simplify right side
    556.52x = 248,466.55
  5. Step 5: Solve for x
    x = 248,466.55/556.52
  6. Step 6: Final answer
    x = 446.46

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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.