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Finding the Fourth Proportional to 384.23, 530.43 and 226.91

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Solution

The fourth proportional to 384.23, 530.43 and 226.91 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.23 : 530.43 = 226.91 : x
  2. Step 2: Convert to fraction form
    384.23/530.43 = 226.91/x
  3. Step 3: Cross multiply
    384.23x = 530.43 × 226.91
  4. Step 4: Simplify right side
    384.23x = 120,359.21
  5. Step 5: Solve for x
    x = 120,359.21/384.23
  6. Step 6: Final answer
    x = 313.25

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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.