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Finding the Fourth Proportional to 384.22, 530.23 and 226.86

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Solution

The fourth proportional to 384.22, 530.23 and 226.86 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.22 : 530.23 = 226.86 : x
  2. Step 2: Convert to fraction form
    384.22/530.23 = 226.86/x
  3. Step 3: Cross multiply
    384.22x = 530.23 × 226.86
  4. Step 4: Simplify right side
    384.22x = 120,287.98
  5. Step 5: Solve for x
    x = 120,287.98/384.22
  6. Step 6: Final answer
    x = 313.07

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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.