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Finding the Fourth Proportional to 384.25, 530.08 and 226.84

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Solution

The fourth proportional to 384.25, 530.08 and 226.84 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.25 : 530.08 = 226.84 : x
  2. Step 2: Convert to fraction form
    384.25/530.08 = 226.84/x
  3. Step 3: Cross multiply
    384.25x = 530.08 × 226.84
  4. Step 4: Simplify right side
    384.25x = 120,243.35
  5. Step 5: Solve for x
    x = 120,243.35/384.25
  6. Step 6: Final answer
    x = 312.93

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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.