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Finding the Fourth Proportional to 384.69, 530.82 and 227.37

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Solution

The fourth proportional to 384.69, 530.82 and 227.37 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 530.82 = 227.37 : x
  2. Step 2: Convert to fraction form
    384.69/530.82 = 227.37/x
  3. Step 3: Cross multiply
    384.69x = 530.82 × 227.37
  4. Step 4: Simplify right side
    384.69x = 120,692.54
  5. Step 5: Solve for x
    x = 120,692.54/384.69
  6. Step 6: Final answer
    x = 313.74

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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.