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Finding the Fourth Proportional to 527.49, 727.75 and 306.36

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Solution

The fourth proportional to 527.49, 727.75 and 306.36 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.49 : 727.75 = 306.36 : x
  2. Step 2: Convert to fraction form
    527.49/727.75 = 306.36/x
  3. Step 3: Cross multiply
    527.49x = 727.75 × 306.36
  4. Step 4: Simplify right side
    527.49x = 222,953.87
  5. Step 5: Solve for x
    x = 222,953.87/527.49
  6. Step 6: Final answer
    x = 422.67

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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.