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Finding the Fourth Proportional to 384.56, 530.67 and 227.19

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Solution

The fourth proportional to 384.56, 530.67 and 227.19 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 530.67 = 227.19 : x
  2. Step 2: Convert to fraction form
    384.56/530.67 = 227.19/x
  3. Step 3: Cross multiply
    384.56x = 530.67 × 227.19
  4. Step 4: Simplify right side
    384.56x = 120,562.92
  5. Step 5: Solve for x
    x = 120,562.92/384.56
  6. Step 6: Final answer
    x = 313.51

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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.