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Finding the Fourth Proportional to 384.06, 530.03 and 226.82

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Solution

The fourth proportional to 384.06, 530.03 and 226.82 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 530.03 = 226.82 : x
  2. Step 2: Convert to fraction form
    384.06/530.03 = 226.82/x
  3. Step 3: Cross multiply
    384.06x = 530.03 × 226.82
  4. Step 4: Simplify right side
    384.06x = 120,217.62
  5. Step 5: Solve for x
    x = 120,217.62/384.06
  6. Step 6: Final answer
    x = 313.02

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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.