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Finding the Fourth Proportional to 526.82, 726.83 and 305.84

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Solution

The fourth proportional to 526.82, 726.83 and 305.84 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 726.83 = 305.84 : x
  2. Step 2: Convert to fraction form
    526.82/726.83 = 305.84/x
  3. Step 3: Cross multiply
    526.82x = 726.83 × 305.84
  4. Step 4: Simplify right side
    526.82x = 222,295.12
  5. Step 5: Solve for x
    x = 222,295.12/526.82
  6. Step 6: Final answer
    x = 421.96

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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.