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Finding the Fourth Proportional to 384.80, 530.96 and 244.94

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Solution

The fourth proportional to 384.80, 530.96 and 244.94 is: 337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 530.96 = 244.94 : x
  2. Step 2: Convert to fraction form
    384.80/530.96 = 244.94/x
  3. Step 3: Cross multiply
    384.80x = 530.96 × 244.94
  4. Step 4: Simplify right side
    384.80x = 130,049.46
  5. Step 5: Solve for x
    x = 130,049.46/384.80
  6. Step 6: Final answer
    x = 337.97

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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.