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Finding the Fourth Proportional to 384.30, 530.34 and 226.92

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Solution

The fourth proportional to 384.30, 530.34 and 226.92 is: 313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 530.34 = 226.92 : x
  2. Step 2: Convert to fraction form
    384.30/530.34 = 226.92/x
  3. Step 3: Cross multiply
    384.30x = 530.34 × 226.92
  4. Step 4: Simplify right side
    384.30x = 120,344.75
  5. Step 5: Solve for x
    x = 120,344.75/384.30
  6. Step 6: Final answer
    x = 313.15

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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.